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3. Is 144 a term of the A.P. 3, 7, 11slyFind the 20h term from the last term of the A.P. 3,8, 13,.,.253Reswill he 130 more than its 31st term?

Answer»

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 => 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 T32=a+(32-1)duse , = 3 + 31 × 5 = 3 + 155 = 158

hence , 20th term from last = 158



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