Find the 31st and nth terms of the series 1,-2,-5,-8,.....
Answers
Answered by
7
1, -2,-5,-8
a1 = 1 a2= -2
d= a2 - a1
= -2-1
= -3
a31 = a+30d
= 1 + 30×-3
=1-90
=-89
a1 = 1 a2= -2
d= a2 - a1
= -2-1
= -3
a31 = a+30d
= 1 + 30×-3
=1-90
=-89
Answered by
9
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a1 = 1 (Given)
Find the difference between the terms:
d = -5 - (-2) = -3
Find the nth term:
an = a1 + (n - 1)d
an = 1 + (n - 1) (-3)
an = 1 -3n + 3
an = 4 - 3n
Find the 31st term:
a31 = 4 - 3(31)
a31 = -89
Answer: The nth term is 4 - 3n and the 31st term is -89
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