Question

For an A.P. if the 11 term is 38 and 16 term is 73, then find the 31 term of the progression. ​

Answer 1

Answer:

31st term is 178

Given,

a + 15d = 73 ------------------------1

a+ 10d = 38-------------------------2

Subtracting 2 from 1 gives,

5d = 35

d = 7

Using d = 7 in 2 gives

a + 70 = 38

a = -32

Now, 31st term is asked,

a + 30d = -32 + 210 = 178

Answer 2

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