Question

In an AP the third term is 16 and 7th term exceeds the 5th
term by 12 then its first term is
​

Answer 1

Answer:

first term is 4

Step-by-step explanation:

a3= a+2d = 16 first equation

a7-a5=12

a+6d - a+ 4d = 12

2d=12

d = 6

put the value of d in equation first

a + 2(6) = 16

a + 12 = 16

a = 16-12

a = 4

first term is 4

i hope it helps you

Answer 2

Answer:

Given,t 3=16

a+2d=16------------(1)

and, t 7=t 5+12

a+6d=a+4d+12

a - a+6d-4d=12

2d=12

d=6

on putting the value in eq.1,we get

a+2*6=16

a+12=16

a=4

hence,first term=4.

Step-by-step explanation:

hope this answer will help you.