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Chapter 12: Q. 5 (page 838)

Write out∑k=14(4k+2)

Short Answer

Expert verified

∑k=14(4k+2)=6+10+14+18.

Step by step solution

01

Step 1. Given information.

∑k=14(4k+2)

02

Step 2. Expand the summation by substituting values of k.

∑k=14(4k+2)=(4.1+2)+(4.2+2)+(4.3+2)+(4.4+2)=(4+2)+(8+2)+(12+2)+(16+2)=6+10+14+18

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Most popular questions from this chapter

In Problems 29–36, the given pattern continues. Write down the nth term of a sequence ansuggested by the pattern.

1,-1,1,-1,1,-1,...

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

an=3nn

In Problems 71–82, find the sum of each sequence.

∑k=1405

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

a1=-1;a2=1;an=an-2+nan-1

Fibonacci Sequence: Let

un=(1+5)n-(1-5)n2n5

define the nth term of a sequence.

(a) Show that u1= 1 and u2 = 1.

(b) Show that un+2 = un+1 + un.

(c) Draw the conclusion that {un} is the Fibonacci sequence.
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