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Chapter 12: Q 25. (page 808)

In Problems 17鈥�28, write down the first five terms of each sequence.

tn=(-1)n(n+1(n+2)

Short Answer

Expert verified

The first five terms of the given sequence are-16,112,-120,130,-142

Step by step solution

01

Step 1. Write the given sequence.

The given sequence istn=(-1)n(n+1(n+2)

02

Step 2. Find the five terms.

To find the five terms in the sequence we substitute 1,2,3,4and5inton

t1=(-1)1(1+1)(1+2)=(-1)2路6=-16t2=(-1)2(2+1)(2+2)=13路4=112t3=-13(3+1)(3+2)=(-1)4路5=-120t4=(-1)4(4+1)(4+2)=15路6=130t5=(-1)5(5+1)(5+2)=(-1)6路7=-142

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Most popular questions from this chapter

In Problems 37鈥�50, a sequence is defined recursively. Write down the first five terms.

a1=3;an=an-1n

True or False. The notation a5represents the fifth term of a sequence.

Growth of a Rabbit Colony:

A colony of rabbits begins with one pair of mature rabbits, which will produce a pair of offspring (one male, one female) each month. Assume that all rabbits mature in 1 month and produce a pair of offspring (one male, one female) after 2 months. If no rabbits ever die, how many pairs of mature rabbits are there after 7 months?

[Hint: The Fibonacci sequence models this colony. Do you see why?]

In Problems 17鈥�28, write down the first five terms of each sequence.

bn=2n+12n

Problems 17鈥�28, write down the first five terms of each sequence.

cn=-1n+1n2
See all solutions

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