Express the sum using summation notation. Use a lower limit of summation not necessarily 1 and k for the index of summation.
-$$( a + 1 ) + ( a + d ) + \left( a + d ^ { 2 } \right) + \ldots + \left( a + d ^ { n } \right)$$
A) $\sum _ { \mathrm { k } = 0 } ^ { \mathrm { n } } \left( \mathrm { a } + \mathrm { d } ^ { \mathrm { k } } \right)$
B) $\sum _ { k = 1 } ^ { n } \left( a + d ^ { k } \right)$
C) $\sum _ { k = 0 } ^ { n - 1 } \left( a + d ^ { k } \right)$
D) $\sum _ { \mathrm { k } = 0 } ^ { \mathrm { n } } \mathrm { ad } ^ { \mathrm { k } }$

Question

Quizplus · Accepted Answer

The correct expression in summation notation starts with $k = 0$ because the first term corresponds to $d^0 = 1$, and it goes up to $n$, including both $a$ and $d^k$ in each term.

Express the Sum Using Summation Notation (a+1)+(a+d)+(a+d2)+…+(a+dn)( a + 1 ) + ( a + d ) + \left( a + d ^ { 2 } \right) + \ldots + \left( a + d ^ { n } \right)(a+1)+(a+d)+(a+d2)+…+(a+dn)

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