1 Answer

Rohit Kharche · Answer 1 · 2022-11-28T20:00:21+0000

Given:

The given sum is:

$\sum _(k=4)^9(5k+3)$

To find:

The expanded form and find the sum.

Solution:

We have,

$\sum _(k=4)^9(5k+3)$

The expanded form of given sum is:

$\sum _(k=4)^9(5k+3)=(5(4)+3)+(5(5)+3)+(5(6)+3)+(5(7)+3)+(5(8)+3)+(5(9)+3)$

$\sum _(k=4)^9(5k+3)=(20+3)+(25+3)+(30+3)+(35+3)+(4+3)+(45+3)$

$\sum _(k=4)^9(5k+3)=23+28+33+38+43+48$

$\sum _(k=4)^9(5k+3)=213$

Therefore, the correct option is C.

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