Answer:
6
Step-by-step explanation:
24/4 is 6
-1 - (-7) = 6
5 - (-1) = 6
11 - 5 = 6
The common difference is 6.
If you add 6 to a term, you get the next term.
<span>a. 2x + 11y when x = 4 and y = 2 is 2(4) + 11(2) = 8 + 22 = 30
</span><span>b. 4(y + 1) when y = 7 is 4(7 + 1) = 4(8) = 32
</span><span>c. 3x when x = 12 is 3(12) = 36
</span><span>d. x + 8y when x = 8 and y = 3 is 8 + 8(3) = 8 + 24 = 32
Options a and d have a value of 32. </span>
The first four terms of the series probably refer to the first four partial sums.
which you can compute either by adding one term at a time, or using the well-known formula,
(I can provide a link to a derivation I gave in a nearly identical question in the comments)
The series converges as
if and only if
, which is certainly the case here, since
.
Extrapolating from the formula above, the sum of the convergent series is
so the sum for this series is
.