Question

10,16,22........ is an AS?
a) Find nth term?
b) Find 18th term?​

Answer 1

Answer:

a) To find nth term

xn= d×n + f-d

xn= 6n+10-6

= 6n+4

b) 18th term = 6×18+4

= 108+4=112

so, 112 is the 18th term of this arithmetic sequence.

Answer 2

Step-by-step explanation:

The AP is 10,16,22......

d=a2-a=16-10=6

d=a3-a2=22-16=6.

Since the d is same, it is an AP.

an=?

a=10,d=6

an=a+(n-1)d

=10+(n-1)6.

=10+6n-6

=6n+4.

n=18

a18=?

a18=10+(18-1)6

=10+(17)5

=10+102

=112.

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