Question

There Are 5terms in an AP. the sum of these terms is 55 and the 4th term is 5 more the sum of first 2terms.Find the terms of AP​

Answer 1

Answer:

Step-by-step explanation:

S5 = 55 ,

A4 = 5 + A1 + A2

S5 = 55

n/2 [2a +(n-1)d] = 55

5/2[2a + 4d] =55

2a + 4d = 22

a + 2d = 11...............................................(i)

A4 = 5 + A1 + A2

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

(4-1)d = 5 + a +d

3d -d =a+5

a - 2d = -5............................................(ii)

add(i)  and (ii)..

2a = 6

a = 3

now,

     d =(11-a)/2

        d = 4

the terms are ,

                        a , a+d , a +2d , a + 3d , a + 4d

                         3 , 7 , 11 , 15 , 19.

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