Math, asked by jivanshkumar24, 7 months ago

1. How many terms are there in
the A.P. 14 /2 ,12,

,...
38?​

Answers

Answered by zelenazhaovaqueen
1

given:

A.P= 14/2, 12, ...

a= 14/2

d= 12-14/2

= 5

A(n)= -38

n=?

ATQ:

A(n)=a+(n-1)d

-38=14/2+(n-1)(5)

-38=7+(n-1)(5)

-38=7+(5n-5)

-38=7+5n-5

-38=2+5n

-38-2=5n

40=5n

n= 8

hence, there are 8 terms in the given A.P.

hope it helps

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