Question

in an ap the first term is 8, and common difference is 7. if the last term of an ap is 218, find middle term​

Answer 1

Answer:

113

Step-by-step explanation:

a= 8

d= 7

last term or an = 218

an= a+(n-1)d

218= 8+ (n-1)7

218-8 = (n-1)7

210/7= n-1

30= n-1

30+1 = n

no. of terms = 31

now , middle term = n+1/2

31+1/2= 32/2 = 16

middle term will be 16th term

now ,

an = a+ (n-1)d

an= 8+ ( 16-1)7

an = 8 + (15) 7

an = 8 + 105

an = 113