Q. 3 E3.8( 12 Votes )

# Find the re

Given that a2 = 38 & a6 = -22

a2 = a1 + (2-1)d

38 = a1 + d 1

a6 = a1 + (6-1)d

-22 = a1 + 5d 2

By subtracting the both equations

38 – (-22) = (a1 + d ) - (a1 + 5d)

60 = -4d

d = -15

By substituting in 1 equations we get a1

38 = a1 + (-15)

53 = a1

To find a3:

a3 = a1 + (3-1)d

= 53 + 2×(-15)

= 23

To find a4:

a4 = a1 + (4-1)d

= 53 + 3×(-15)

= 8

To find a5:

a5 = a1 + (5-1)d

= 53 + 4×(-15)

= -7

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