consider the sequence 81, 27, 9, 3, 1,... and find the sum of the first five terms. please show your solution. (photo displayed is a reference showing how to solve it)

Q: What would be the easy way to figure out the 100th and nth of the sequence:  1, 4, 9, 16, 25, 36,.

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Q: What is the 12th term of the geometric sequence 7/8, 7/4, 7/2...?

A: This question is based on Geometric progression.

Q: What is the next three numbers in the sequence: 2,5,10,17,26,37,50?  What formula can be used to…

A: Consider the given series, 2,5,10,17,26,37,50 Obtain a pattern in the series as follows.…

Q: Find the 7th term in the sequence 2, 8, 32, 128, . ..

A: See attached file for a step by step explanation.

Q: Write the general formula of a sequence if the 5th term is -32 and the 20th term is 103. (Note: do…

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Q: The nth term in a sequence is an. How can you represent the next three terms in the sequence?

A: Given, A sequence with, n th term= an

Q: The first term is 25, and the common difference is 18. Which term of the sequence is 601?

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Q: Consider the sequence {1,22,43,64,85,…}. Find n if an = 2332. Show all steps including the formulas…

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Q: Consider the sequence: 6, 2, Vhat is the equation for the general term of this

A: In this question we will use basic of algebra i.e concept of geometric progression. First we will…

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 sum of the first 40 terms of the sequence 9, 18, 27, 36, ...

A: 9, 18, 27, 36, ........ It is an arithmetic sequence with, First term=a=9Common difference=d=9

Q: Find the next term of the sequence: 3, 6, 12, 24, 48,

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Q: sequence

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

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Q: The first four terms of a sequence are given: 23, 21, 19, 17..., find the 50th term of the sequence.

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Q: Find the pattern and give the next three terms in the sequence: 2, 6, 11, 17, 24... Hint: How do you…

A: The given sequence is 2, 6, 11, 17, 24... Observe the patterns as follows. 2    -    2 6    -    2+4…

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

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

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Q: Consider the sequence {3,6,9,12,15,…}. Find n if an = 735. Show all steps including the formulas…

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Q: Write the explicit formula for the sequence 12, 36, 108, 324

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Q: formula

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Q: Find the missing terms to complete a given sequence. 4,-8,16, , .

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Q: Insert the indicated number of arithmetic means between the given first and last terms of the…

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Q: Find the tenth term of the sequence. 1,0, -3, -8, - 15, ... The tenth term is

A: Given series: 1, 0, -3, -8, -15

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

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Q: Write the first five terms of a sequence in which the first term is 2 and each term is 6 more than…

A: We have to find first five terms of the sequence where first term is 2 and each term is 6 more than…

Q: Find the sum of all terms in the Sequence 96,72, 54,...

A: Solution:

Q: Find the 8th term of the geometric sequence 2, –10, 50, ...

A: A sequence is a function with domain being the set of natural numbers and the range being the set of…

Q: Write the recursive formula for each sequence. 7) 3, 9, 27, 81, 243, ... 08 Find the explicit…

A: A sequence is a succession of terms arranged in a definite order according to some defined rule. The…

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

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Q: Find a possible formula for the general nth of the sequence that begins as follows. Please simplify…

A: Ans : 2 2*2=4 2*2*2=8 2*2*2*2=16 2*2*2*2*2=32 ................ .................. 2*2*2*........nth…

Q: Suppose you have the sequence 4, 1, -2, -5,.. . Find the sum of the first 20 even terms.

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Q: Find the next term of the sequence: 8, 5, 2, -1, -4,

A: Explanation: Here given that a sequence: 8, 5, 2, -1, -4, ...

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

A: The given sequence is 2+-0.1n.

Q: i) Find the general form of the sequence (10,50, 250, 1250, ...).

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Q: Find the 7th term for the sequence 1,15, 29, 43, .. Enter the correct value in the box,

A: topic - arithmetic sequence

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

A: We see that after the second term of the sequence it follows a pattern , such that . 9=3+6 15=6+9…

Q: Find the nth term of the sequence 3, 7, 11, 15...​

A: To Determine: Find the nth term of the sequence 3, 7, 11, 15...​ Given: we have a series…

Q: Write the formula for the nth term of the sequence: 2, 5, 8, 11, ...

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Q: : Which term of the sequence 4, 9, 14, 19..... is 124 ?

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Q: Insert the indicated number of arithmetic means between the given first and last terms of the…

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Q: The next term in this sequence, -1/6. -2/3, -1 1/6, -5/3, __________ is? (What is the next term in…

A: Here we will find the next term in the given sequence,

Q: Find the nth term of a sequence 2,5,10,17,26, ...

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Q: Find a likely candidate for the next two numbers in the following sequence: 1, 5, 10, 17, __, __.…

A: Here given a series. We have to tell next two numbers in sequence. And formula with variable n that…

Q: Find the 7th term in the sequence 3, 1, 3, 9,... Hint: Write a formula to help you. 1st term ·…

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Q: The product of the first term and the 6th term of an arithmetic sequence is -38. The sum of the 3rd…

A: Topic - arithmetic progression

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)