Find the next two terms in this sequence. 1,3,9,27,81,[ ? ],[ ]

Q: which term of the sequence  -1,3,7,11... is 95

A:

Q: Find the next term in the sequence 7, 14,21,35,56,91

A: The sequence 7, 14, 21, 35, 56, 91

Q: Find the 7th term in this sequence:2.5,7.5,22.5,67.5...

A: The sequence is2.5 , 7.5 , 22.5 , 67.5 which is in geometric progressionwith a =2.5 , r = 7.52.5 = 3

Q: C1 = -5, C, = 3c,-1 – 2 : ...

A:

Q: Write the next 3 terms of the sequence and write the rule for the nth term 1. 2,8, 18, ... 4. -2, 1,…

A: (4) The given sequence is: -2, 1, 6, 13,... The difference between the 2nd and 1st term is 3, 3rd…

Q: Find the next term of the sequence: 2, 10, 50, 250, 1250,

A: the given sequence is GP because its common ratio is the same.

Q: Find the nth term of the sequence -2, 4, -8, 16, -32...

A: we have to find the nth term of the given sequence

Q: Find the next two terms in the sequence: 5, 2, 8, 3, 11, 4, 14, 5, 17, 6, ? , ? .

A: Given sequence is 5, 2, 8, 3, 11, 4, 14, 5, 17, 6, ? , ? . It is a combination of 2 series 5, 8, 11,…

Q: find the first five terms of the sequence. If a,=2 and a,= 2a,-1 %3D

A:

Q: Find the first four terms and the eighth term of the sequence.

A: Let the given general term is:                                               Tn=2nn2+2

Q: Find the first 5 terms of the sequence a = 3" -6. 9, 15, 33, 87, 249 -3, 0, 3, 6, 9 а. -3, 3, 21,…

A: an=3n-6

Q: 2. Write the equation for each sequence. 3, 6, 9, 12, 15 b. 5, 7,9, 11 а. с. 3, 6, 11, 18

A: (a)  a1=3=3×1;a2=6=3×2;a3=9=3×3;a4=12=3×4;a5=15=3×5;..an=3×n=3nHence an=3n

Q: Find the next two terms in the sequence below. -1/2, -5/6, -7/6, _? ,  ?

A:

Q: Find the nth term of the sequence whose first several terms are: 3 4 56 5 6 7' 8 ... an =

A: Given : The first several terms are 35, 46, 57, 68, ...   To find the nth term of the sequence.

Q: Write the first six terms of the sequence. 1, an = an 1 +3

A: Consider the recursive rule for the sequence. Put n = 2 in the recursive rule and simplify to find…

Q: Find the next three terms in the sequence. 2) 4, 20, 100, 500, 2500, ...

A:

Q: Find the next term of the sequence. 1, 16, 81, 256, . .

A: The given series is of the form,  (n+1)4 Given, 1,16,81,256,...

Q: Find the next three terms in each sequence. You must show your work 1, 3, 4, 7, 11, 18, _, _, _

A: given,        1,3,4,7,11,18,__,__,__

Q: What is the next element in the following sequence? 2,5,10,17,26,..

A: We have to find the next element in the sequence 2, 5, 10, 17, 26, ..........

Q: Find the next three terms in the sequence. You must show your work 243, 81, 27, 9, _, _, _,

A: Given: Find the next three terms in the sequence.243,81,27,9

Q: Find the next three terms of the sequence. 2, 5, 10, 17, 26,

A:

Q: Find the next two terms of the sequence: 5,12,19,26,33,40

A: The difference between the numbers is as follows:

Q: Find a 17 in the sequence 5, -10, 20, -40 ...

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Q: write the next three of the given sequence 1, 1/3, 1/9, 1/27, __, __, __,

A:

Q: 2, 4, 36, 1600 what's next in the sequence

A: Given information: A sequence is provided as 2, 4, 36, 1600. The next number in the sequence is to…

Q: Find the next two terms in this sequence. 2,6, 10, 14, 18, [ ? ],[ ]

A: Given sequence is : 2, 6,10, 14, 18  To find the next two terms in this sequence

Q: Find the next three terms in the sequence. You must show your work 1, 6, 5, 10, 9, 14, 13, _, _, _

A:

Q: Find the next three terms in the sequence. 18, 10, 6, 4, 3, ..

A:

Q: Find the next number of the sequence. 5. 1, 5, 11, 19, 29, _____ 6. 1, 4, 10, 20, 35, _____

A: Given:- 5. 1, 5, 11, 19, 29,  6. 1, 4, 10, 20, 35, To find:- Next term of given sequence

Q: Find the sum of the sequence. 1. 금+금 2.+ 3. 27

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: What is the 10th term in this sequence: 1, 3, 9, 27,...

A: Given,          The sequence is 1 , 3 , 9 , 27 ,.....We know that,          The general term of G.P…

Q: What is the 10th term in this sequence: 4, 8, 10, 12,..

A: Our Aim is to find the 10th term the sequence given below:-4,8,10,12,......-(i)

Q: B. Find the tenth term in each sequence. 1. -6, -2,0,1,2,... 2. 18, 14, 10,6,...

A: The given sequences, 1. -6,-2,0,1,32,...... 2. 18,14,10,6,.... we have to find tenth term of the…

Q: Find the next term in the sequence 3 ,6 ,9,15,24

A: SOLUTION-

Q: Find the an value of each sequence below. 4 8 16 а. {-3, 2, 3'9 27 b. {5,8,11, 14, 17, ...}

A:

Q: identify the next sequence of the given.  1,1,2,3,5,8,13,__

A: Given: 1,1,2,3,5,8,13,__       To determine: next term of the given sequence

Q: Write a rule for the n th term of the sequence for which a, =-500 and r=5. %3D Identify the first…

A: The common ratio is given to be equal to 5 therefore we need to calculate the first term using the…

Q: Find the 8th term of each sequence. 4. 1, 2, 4, 8, 16, . 5. -6, -9, -12, -15, -18, ..

A: 4. 1,2,4,8,16 given series is geometric series  r=21r=2 Tn=arn-1Tn=1*(2)n-1…

Q: Find the next term of the sequence: 4, 16, 64, 256, 1024,

A: Given

Q: Find the next two terms in this sequence. 3, 12, 48, [? ], [ ] Enter

A:

Q: Determine the number of terms in this sequence. 5,8,11,...,62

A: Topic = Sequence

Q: identify the next sequence of the given.  1,4,8,16,32,___

A: The given sequence is  1,4,8,16,32,___

Q: Find the next two terms in this sequence. 1, 4, 9,16, [ ? ],[ ] Enter

A:

Q: B. Find the next term of the following sequence. 10. 32, 16, 8, 0, ..

A: In given sequence          32 , 16 , 8 , 0 , ...  Here we can see that  1st term  a1 = 32  2nd term…

Q: Write the expression for the nth term of sequence 2, -1, (1/2), (-1/4), (1/8)

A: Consider the given sequence: 2, -1, (1/2), (-1/4), (1/8)

Q: Find the next term in the sequence; 0, 10, 24, 56, 112, 190, ?

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Q: What is the next element in the following sequence? 2,5,10,17,26,.

A:

Q: Find the next term in the following sequence. 1. 10, 12, 16, 18, 22, 2. 2, -4, 8, -16, 32, .

A:

Permutations and Combinations

If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.

Counting Theory

The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.