Answered

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10. Use the following pattern to complete parts a. and b. below.
4 + 12 = 16
4 + 12 + 20 = 36
4 + 12 + 20+28 = 64
a. What is an inductive generalization based on this pattern, where n is equal to the number of terms being summed?
A. The sum of the terms is 4(n+1).
B.
The sum of the terms is 4n.
C.
The sum of the terms is 4.2+1,
D. The sum of the terms is 4n².
b. Based on the generalization in (a), find the sum of the sequence 4+ 12+20+...+52.
The sum of the sequence is

Please show work.

Sagot :

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