Math, asked by omsahani2002, 5 months ago

if the 3rd and 7th term of an ap is 18 and 30 respectively find the series

Answers

Answered by kartik2507
0

Answer:

12, 15, 18, 21,..........

Step-by-step explanation:

3rd term = a + 2d = 18

7th term = a + 6d = 30

subtract 3rd term from 7th term

a + 6d = 30

- a - 2d = -18

we get

4d = 12

d = 12/4

d = 3

substitute d = 3 in 3rd term

a + 2d = 18

a + 2(3) = 18

a + 6 = 18

a = 18 - 6

a = 12

the series will be

a, a+ d, a + 2d, a + 3d, .........

12, 12 + 3, 12 + 2(3), 12 + 3(3) ...........

12, 15, 18, 21 .............

Hope you get your answer

Answered by malathinukala76576
0

Answer:

12,15,,18,and soon

Step-by-step explanation:

in this

The Starting value is 12 and the difference is 3

we will take in 2 equations first is

IN it the first equation is

nth is 3

a+(3-1)d=18 -(1)

a+(7-1)d=30-(2)

add the eq 1+2

it gives 4d=12

d=3

sub in eq-1

a+2*3=18

a=18-6

a=12

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