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Find the nth term of the arithmetic sequence whose initial term a and common difference d are given.

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Find the nth term of the arithmetic sequence whose initial term a and common difference d are given.What is the fifty-first term?

asked Feb 16, 2015 in PRECALCULUS by anonymous
reshown Feb 16, 2015 by goushi

1 Answer

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Step 1 : 

nth term of an arithmetic sequence :

The nth term of an arithmetic sequence is .

Where is the first term and d  is the common difference.

Step 2 : 

The initial term is and common difference is .

The nth term of an arithmetic sequence is .

Substitute and in above equation.

image

The nth term of an arithmetic sequence is image

Step 3 :

Substitute image in image

image

The fifty-first term of an arithmetic sequence is image

Solution : 

The nth term of an arithmetic sequence is image

The fifty-first term of an arithmetic sequence is image

answered Feb 17, 2015 by Thomas Apprentice

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