Find the number of terms: 5 2 -1 ......-49

Asked by bhavishgowdabs355 | 30th Apr, 2021, 09:03: AM

Expert Answer:

The given terms are 5, 2, -1, ..., -49
This forms an A.P. with first term (a) = 5 and common difference (d) = -3
Let the number of terms be n.
So, -49 becomes the nth term.
an = -49
5 + (n - 1)(-3) = -49
5 - 3n + 3 = -49
8 - 3n = -49
3n = 57
n = 19
Hence, the number of term is 19.

Answered by Renu Varma | 5th May, 2021, 11:16: AM