Question

• The first term of an A.P. is -2 and the 10th term is 16. Determine the 15th term.
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Answer 1

Answer:

a=-2

n=a+(n-1)d

t10=-2+(10-1)d

16=-2+9×d

16=7×d

d=16/7

t15=-2+(15-1)×16/7

t15=-2+14×16/7

t15=-2+2×16

t15=-2+32

t15=30

Answer 2

Answer:

a(15)=26

Step-by-step explanation:

Here we have: a= -2 & a(10)= 16

a(10)= a+9d

16= -2+9d

16+2= 9d

18=9d

d=18/9

d=2

a(15)= a+14d

a(15)= -2+14×2

a(15)= -2+28

a(15)= 26 ANS