Question

find the value of t7+t9 for the A. P. 7, 13, 19, 25,..​

Answer 1

Step-by-step explanation:

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Answer 2

The value of t7+t9 is 98.

Given,

An arithmetic progression 7, 13, 19, 25,...

To Find,

The value of t7+t9.

Solution,

The given A.P is

7, 13, 19, 25,...

where,

a = 7

d = 13-7 = 6

Now, the formula for calculating the nth term of an A.P is

aₙ = a+(n-1)d

So,

t7 = a+(7-1)d

t7 = 7+6*6 = 7+36

t7 = 43

Now,

t9 = a+(9-1)d

t9 = 7+8*6

t9 = 55

So,

t7+t9 = 43+55 = 98.

Hence, the value of t7+t9 is 98.

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