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Find the 10th term from the end of the A.P. 4, 9, 14, .........., 254. - Mathematics

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Question

Find the 10th term from the end of the A.P. 4, 9, 14, .........., 254. 

Sum
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Solution

The given A.P. is 4, 9, 14, .........., 254

First term = 4

Common difference = 9 – 4 = 5

Last term = l = 254

For the reverse A.P. first term = 254 and common difference = –5

Thus, 10th term from the end of a given A.P.

= 10th term from the end of a given A.P.

= 254 + (10 – 1) × (–5)

= 254 – 45

= 209

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