Question

how many terms are there in the ap 7,10,13,.......31

Answer 1

Answer:

a=3;d=10-7=3

an=31

Step-by-step explanation:

an=a+(n-1)d

31=3+(n-1)3

31-3=(n-1)3

28=3n-3

28+3=3n

31/3=n

i hope it help you

Answer 2

Answer:

9 terms are there

Step-by-step explanation:

7,10,13,...31

Therefore,

t1=a=7 d=3

tn=a+(n-1)d

We have to find number of terms in between so 'n' is to be found.

31=7+(n-1)3

31=7+3n-3

31-4=3n

27/3=n

therefore n=9 and there are nine 9 terms in 7,10,13...31