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Step-by-step explanation:
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 = 32nd term from first.
use ,
= 3 + 31 × 5 = 3 + 155 = 158
THEREFORE, THE 20TH TERM FROM THE LAST TERM IS 158.
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