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Chapter 12: Q. 20 (page 816)

Find the nth term of the arithmetic sequence anwhose initial term a1and common difference dare given. What is the fifty-first term?

a1=1;d=-13

Short Answer

Expert verified

The nth term is localid="1648724949517" an=43-13nand the fifty-first term is -473.

Step by step solution

01

Step 1. Given information

a1=1;d=-13

02

Step 2. Calculation

The nth term is -

an=a1+(n-1)d

localid="1648724818307" =1+n-1-13

=1-13n+13

=43-13n

and the fifty-first term is -

localid="1648663826099" a51=1+51-1-13

localid="1648663834154" =1+50-13

=1+-503

=-473

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Most popular questions from this chapter

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

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

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True or False. A function is a relation between two sets D

and R so that each element x in the first set D is related to exactly one element y in the second set R.

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

鈭�k=1405

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

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