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In a sequence, the first term is -50 and the common difference is 8. Find the sixth term of this...

Question:

In a sequence, the first term is -50 and the common difference is 8. Find the sixth term of this sequence.

Arithmetic Sequence:

{eq}a, a+d, a+2d, a+3d, \dotsm{/eq} is an arithmetic sequence and in this sequence, {eq}a{/eq} is the first term and {eq}d{/eq} is a common difference.

To find the {eq}n^{th}{/eq} of an arithmetic sequence, we just need the fist term and the common difference. The {eq}n^{th}{/eq} term is given as {eq}a_{n}=a+(n-1)d{/eq}.

Answer and Explanation: 1

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Given

  • The first term is {eq}a_1=-50 {/eq}
  • The common difference is {eq}d=8 {/eq}

Required

  • The fifth term of this sequence is {eq}a_5=\;? {/eq}

Sol...

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How and Why to Use the General Term of an Arithmetic Sequence

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Chapter 21 / Lesson 5
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Learn the definition of arithmetic sequence and general term of a sequence. Learn the formula for general term of a sequence and see examples.


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