Question

Determine the no.of term in sequence 17,29/2,12,.....,-30

Answer 1

Answer:

Step-by-step explanation

A.P. = 17, 29/2, 12, .........-30

in given a.p.

a=17 , d= 29/2 -17 =-5/2 , An= -30

put in formula

an= a+(n-1) ×d

-30 = 17 +(n-1) ×-5/2

-30-17 = -5/2n +5/2

-47 = -5/2n +5/2

-47-5/2 = -5/2n

-99/2 = -5/2n

n= 99/2 × 2/5

n= 99/5