Grade 12th pass10 grade maths
17. Find the 20th term from the last term of the A.P. 3, 8, 13, …, 253.
17. Find the 20th term from the last term of the A.P. 3, 8, 13, …, 253.
1 Answer
Pawan Prajapati
Given A.P. is3, 8, 13, …, 253
Common difference, d= 5.
Therefore, we can write the given AP in reverse order as;
253, 248, 243, …, 13, 8, 5
Now for the new AP,
first term, a = 253
and common difference, d = 248 − 253 = −5
n = 20
Therefore, using nth term formula, we get,
a20 = a+(20−1)d
a20 = 253+(19)(−5)
a20 = 253−95
a = 158
Therefore, 20th term from the last term of the AP 3, 8, 13, …, 253.is 158.
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