CPM Homework Help : PC Problem 7-109

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7-109.

Evaluate the following sums.

$3 + 6 + 12 + … + 3072$
Hint (a):
Geometric Series: $S=\frac{a(r^{n}-1)}{r-1}$

$800 + 840 + 880 + …$ (1^st $20$ terms)
Hint (b):
Arithmetic Series: $S=\frac{n(a_{1}+a_{n})}{2}$

$\displaystyle \sum _ { k = 4 } ^ { 10 } 0.02 ( 3 ) ^ { k }$
Hint (c):
Use your Graphing Calculator Sum program.

$\frac { 1 } { 2 }+ 1 + \frac { 3 } { 2 }+ 2 + …$ (1^st $20$ terms)
Hint 1(d):
Find the 20th term.
Then use the Sum formula for Arithmetic Series.
Hint 2(d):
$a_{n} = a_{1} + \left(n − 1\right)d$

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