Question

Find next 3 terms of AP:

$1 {}^ {2} 5 {}^{2} 7 {}^{2} 73.......$

Answer 1

Hey friend,

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AP is $1^2 , 5^2 , 7^2 , 73 ........$

Common difference (d) = 73 - 49 = 49 - 25 = 24

First term (a) = 1

5th term = a + (n-1)d

= 1 + (5-1)*24

= 1 + 4*24

= 1 + 96

= 97

6th term = 1 + (6-1)*24

= 1 + 5*24

= 1 + 120

= 121

7th term = 1 + (7-1)*24

= 1 + 6*24

= 1 + 144

= 145

Next three terms of AP will be 1 , 25 , 49 , 73 , 97 , 121 , 145 ........

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Hope this helped you !!

Answer 2

Answer:

97, 121

Step-by-step explanation:

AP is 1^2 , 5^2 , 7^2 , 73 ........1

2

,5

2

,7

2

,73........

Common difference (d) = 73 - 49 = 49 - 25 = 24

First term (a) = 1

5th term = a + (n-1)d

= 1 + (5-1)*24

= 1 + 4*24

= 1 + 96

= 97

6th term = 1 + (6-1)*24

= 1 + 5*24

= 1 + 120

= 121

7th term = 1 + (7-1)*24

= 1 + 6*24

= 1 + 144

= 145

Next three terms of AP will be 1 , 25 , 49 , 73 , 97 , 121 , 145 ........