Question

Test whether
25 is term of AP 6, 9, 12, 15...


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Answer 1

Answer:

d=3

a=6

a(n)=25

Step-by-step explanation:

Hence it is not an term of the Given A.P

Refer to the attachment plz...

Answer 2

Answer:

The number 25 is not in the A.P

Step-by-step explanation:

The arithmetic progression is given by

6, 9, 12, 15....

The first term of the A. P is given by a = 6

The common difference of the A. P is given by

d = 9 - 6

d = 3

To find the nth term of A. P

$T_{n}= a + (n-1)d$

Therefore,

The 5th term of A. P is given by

n = 5

$T_{5}= 6 +(5-1)3$

$T_{5}=18$

The 6th term of A. P is given by

n = 6

$T_{6}= 6 +(6-1)3$

$T_{6 }= 21$

The 7th term of A. P is given by

n = 7

$T_{7}= 6 +(7-1)3$

$T_{7}= 24$

The difference between 25 and 24 is 1

The common difference of the A. P is given by d = 3

Therefore the number 25 is not in the A.P