which term of A.P 11, 8, 5,2; is-151
Answers
Answer:
-151 will be the 55th term of this AP.
Step-by-step explanation:
Refer to the attachment below.
Hope it helps!!
Concept
The difference between each pair of subsequent terms in an arithmetic progression is always the same. The terms in an arithmetic progression are obtained by adding a predetermined number to the terms before them, with the exception of the initial term.
Given
the sequence is 11,8,5,2,.........-151
Find
which term of AP is number ₋151
Solution
The algebraic sequence of numbers known as arithmetic progression is one in which every subsequent term's difference is the same. It can be attained by multiplying each preceding phrase by a predetermined number.
from the given sequence 11,8,5,2,.........-151.
aₙ = a₊(n₋1)d
aₙ = ₋151 , a = 11 and d=₋3
⇒ ₋151 = 11 ₊ (n₋1) (₋3)
₋151 = 11 ₋ 3n ₊ 3
₋151 = 14 ₋ 3n
3n = 14 ₊ 151
3n = 165
n = 55
hence the 55th term is number ₋151.
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