find the 20th term from the last term of the AP 3,8,13........,253
Answers
Answer:
98
Step-by-step explanation:
Here is the answer of your question
Answer:
given:
=> first term
= t1
= a
= 3
=>difference
= d
= t2- t1
= 8 - 3
= 5
=》 to find 20th term from the last
Step-by-step explanation:
we need to find how many term in an A.P,
Here, tn = 253, a = 3, d = 5
tn = a + (n - 1) × d
253 = 3 + (n -1) × 5
253 - 3 = (n - 1) × 5
250 = ( n - 1 ) × 5
(n - 1) = 250/5
(n - 1) = 50
n = 50 + 1
n = 51
In an A.P, there are 51 term,
to find 20th term from last
= 51th - 19th
= 32th
therefore, the 20th term from the last the last term is 32 .
n = 32
tn = a + (n - 1) × d
t32 = 3 + ( 32 - 1 ) × 5
= 3 + 31 × 5
= 3 + 155
= 158
therefore, the value of 20th term from the last term of an A.P. is 158.