Question

Given the arithmetic sequence -7-3+1....+173 how many terms are there in the series

Answer 1

Step-by-step explanation:

a=-7 d=4

-7+(n-1)4=173

(n-1)4=180

(n-1)=45

n=46

Answer 2

Answer:

Step-by-step explanation:

The given AP is:

-7-3+1+----------------+173

Here a=-7

d= -3-(-7)=-3+7=4

$A_n=173\\\\n =?\\\\We \ know \ that :\\\\A_n =a+(n-1)d\\\\\therefore 173=-7+(n-1)\times 4\\\\173+7=(n-1)\times 4\\\\n-1=\frac{180}{4}=45\\\\n=45+1=46\\\\Hence \ the\ AP\ is\ having \ 46\ terms$