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Express the Sum Using Summation Notation (a+1)+(a+b)+(a+b2)++(a+bn)( a + 1 ) + ( a + b ) + \left( a + b ^ { 2 } \right) + \ldots + \left( a + b ^ { n } \right)

Question 94

Multiple Choice

Express the sum using summation notation. Use a lower limit of summation, not necessarily 1, and k for the index of
summation.
- (a+1) +(a+b) +(a+b2) ++(a+bn) ( a + 1 ) + ( a + b ) + \left( a + b ^ { 2 } \right) + \ldots + \left( a + b ^ { n } \right)


A) k=1n(a+bk) \sum _ { \mathrm { k } = 1 } ^ { \mathrm { n } } \left( \mathrm { a } + \mathrm { b } ^ { \mathrm { k } } \right)
B) k=0na bk\sum _ { \mathrm { k } = 0 } ^ { \mathrm { n } } a \mathrm {~b} ^ { \mathrm { k } }
C) k=0n(a+bk) \sum _ { k = 0 } ^ { n } \left( a + b ^ { k } \right)
D) k=0n1(a+bk) \sum _ { k = 0 } ^ { n - 1 } \left( a + b ^ { k } \right)

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