Q. 3 E3.8( 12 Votes )

Find the re

Answer :

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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