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Chapter 12: Q. 26 (page 816)

Find the indicated term in each arithmetic sequence.

80th term of 5, 0, -5, ...

Short Answer

Expert verified

The 80th term of the sequence is -390.

Step by step solution

01

Step 1. Given information

Thegivensequenceis5,0,鈭�5...

We have to find the 80th term of the sequence.

02

Step 2. Calculating the common difference.

Now,

鈬�a1=5,a2=0,a3=鈭�5鈬�a2鈭�a1=0鈭�5=鈭�5鈬�a3鈭�a2=鈭�5鈭�0=鈭�5鈬�d=鈭�5

03

Step 3. Calculating the required term.

Thenthtermofasequenceisgivenasan=a1+n鈭�1dHere,aisthefirsttermofthesequence.disthecommondifference.Thus,鈬�a80=5+80鈭�1鈭�5=5+79鈰�鈭�5=5鈭�395=鈭�390

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