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Mashutka [201]
2 years ago
9

How do I work this out?

Mathematics
1 answer:
zvonat [6]2 years ago
8 0

We have to determine the value of \sum _{m=9} ^{21} (5m+6)

= (5(9)+6) + (5(10)+6) +(5(11)+6) + .......... + (5(21)+6)

= 51+56+61+66+ ........ + 111

Since, the common difference is 5, hence this series is in arithmetic progression.

Sum of AP is given by the formula:

\frac{n}{2}[2a+(n-1)d]

Since, there are 13 terms.

= \frac{13}{2}[2(51)+(13-1)5]

= \frac{13}{2}[102+60]

= \frac{13}{2}[162]

= 13 \times 81

= 1053

Therefore, the sum of the series is 1053.

So, Option G is the correct answer.

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