Question

Find k, if the given value of x is the kth term of given AP. given by ` 2 , -4 , -10 , -16 , -22 .....; x = -448`

Answer 1

`k^(th)` term in an `AP = a+(k-1)d`
Here, `a` is the first term and `d` is the common difference.
In the given AP,
`a = 2, d = -6`
`a+(k-1)d = -448`
`=>2+(k-1)(-6) = -448`
`=>2-6k+6 = -448`
`=>6k = 456`
`=> k = 76`