Question

In an A.P. the first term is 8 and last term is 62. If sum of all numbers in the AP is 210, then
how many terms are there? What is the common difference? Complete the following activity
Let the number of terms in the AP.be n and the common difference bed​

Answer 1

Step-by-step explanation:

a=8,a

n

=62,s

n

=210

a

n

=a+(n−1)d

62=8+(n−1)d

54=(n−1)d

s

n

=

2

n

[2a+(n−1)d]

210=

2

n

[16+(n−1)d]

420=n[16+54]

420=70n

n=6

54=(6−1)d

d=

5

54