–157
–153
–149
–145
Here, we have...
a_1 = 15 and a_15 = -41
Then...
a_15 = 15 + (15 - 1)d
-41 = 15 + 14d
-56 = 14d
d = -4
Hence...
a_41 = 15 + 41(-4)
= 15 - 164
= -149
I hope this helps!
a(1) = 15
a(15) = 15 + (15-1)d = -41
solve for d
a(41) = 15 + (41-1)d
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Verified answer
Here, we have...
a_1 = 15 and a_15 = -41
Then...
a_15 = 15 + (15 - 1)d
-41 = 15 + 14d
-56 = 14d
d = -4
Hence...
a_41 = 15 + 41(-4)
= 15 - 164
= -149
I hope this helps!
a(1) = 15
a(15) = 15 + (15-1)d = -41
solve for d
a(41) = 15 + (41-1)d