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Find the 15th term from the end (towards first term) of the A.P. 3, 8, 13,....., 253. - Mathematics

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Question

Find the 15th term from the end (towards first term) of the A.P. 3, 8, 13,....., 253.

Sum

Solution

3, 8, 13,.....,253.

Here, d = a2 − a= 8 − 3 = 5; l = 253; N = 15

nth term from the end = l − (N − 1)d

15th term from the end = 253 − (15 − 1)5

= 253 − (14)5

= 253 − 70

= 183

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2021-2022 (April) Basic - Outside Delhi Set 3
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