Question

if the second terms of an AP is 12,5 and 7th term is 20 then AP is a)3,5,7... b)2,4,6... c)2,5,8.... d)3,6,9...​

Answer 1

Answer:

option C

Step-by-step explanation:

2,5,8

this is right answer

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Answer 2

SOLUTION

CORRECT QUESTION

TO CHOOSE THE CORRECT OPTION

If the second terms of an AP is 5 and 7th term is 20 then AP is

a) 3 , 5 , 7 . . . .

b) 2 , 4 , 6 . . . .

c) 2 , 5 , 8 . . . .

d) 3 , 6 , 9 . . . .

CONCEPT TO BE IMPLEMENTED

If in an arithmetic progression

First term = a

Common difference = d

Then nth term of the AP

= a + ( n - 1 )d

EVALUATION

Let First term = a and Common difference = d

2nd Term of the AP = a + d

7th term of the AP = a + 6d

So by the given condition

a + d = 5 - - - - - (1)

a + 6d = 20 - - - - (2)

Equation 2 - Equation 1 we get

5d = 15

⇒ d = 3

From Equation 1 we get

d = 5 - 3 = 2

So the required arithmetic progression is

2 , 5 , 8 , 11 . . . .

FINAL ANSWER

Hence the correct option is

c) 2 , 5 , 8 . . . .

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