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Find the 20 th term from …

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Find the 20 th term from the last term of the ap 3 8. 13. 253
  • 1 answers

Yogita Ingle 5 years, 6 months ago

Given series is 3, 8, 13, ...... 253
here, first term , a = 3
common difference , d = 5
Let us find total number of terms at first.
use {tex}\bf{T_n=a+(n-1)d}{/tex}
=> 253 = 3 + (n - 1)5
=> 250 = 5(n - 1)
=> n - 1 = 50
=> n = 51
so, there are 51 terms in given series.
now we know, mth term from last =last term - mth term + 1
so, 20th term from last = 51 - 20 + 1 = 32
hence, 20th from last = 32th term from first

use , {tex}\bf{T_{32}=a+(32-1)d}{/tex}
= 3 + 31 × 5 = 3 + 155 = 158
hence , 20th term from last = 158

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