Question

the sum of 2nd and 3rd term is 22 and the product of 1st and 4th term is 85​

Answer 1

T2+T3=22=>a+d+a+2d=2a+3d=22 (1) T1×T4=85= a+d×a+3d=85 = a^2+3ad+ad+3d^2=85

Answer 2

Answers

Let 2 be 2x and 3 be 3x

= 2x + 3x = 22

= 2x+x = 22/3

= 2x+x = 22/3

= X+x = 22/3/2

= 2x = 11/3

= X = 11/3/2

= 11/3×2

= 22/3 so: 2x= 2×22/3 =44/3

And 3x= 3×22/3=66/3

And:

= 1x + 4x = 84

= 1x+x =84/4

= 1x+x= 21

= X+X = 21/1=21

2x= 21

X= 21/2

So: 1x= 1×21/2=21/2

4x= 4×21/2

=84/2

Hope this helped