Question

find out 11th term of an ap is 38 and 16th term is 73 . find common difference

Answer 1

Step-by-step explanation:

here, t11 = 38

t16 = 73

by the formula ,

tn = a + ( n - 1) d

t11= a + ( 11 - 1 ) d

t11 = a + 10 d

38 = a + 10 d...........(1)

similarly,

t16= a +( 16-1) d

73 = a + 15 d.............(2)

subtracting equation ( 1) and (2)

73= a + 15 d............(2)

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38= a + 10 d............(1)

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35 = 5 d

d = 7

Ans: d = 7

I hope my answer will help you.