We have to determine the value of ![\sum _{m=9} ^{21} (5m+6)](https://tex.z-dn.net/?f=%5Csum%20_%7Bm%3D9%7D%20%5E%7B21%7D%20%285m%2B6%29)
= (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]](https://tex.z-dn.net/?f=%5Cfrac%7Bn%7D%7B2%7D%5B2a%2B%28n-1%29d%5D)
Since, there are 13 terms.
= ![\frac{13}{2}[2(51)+(13-1)5]](https://tex.z-dn.net/?f=%5Cfrac%7B13%7D%7B2%7D%5B2%2851%29%2B%2813-1%295%5D)
= ![\frac{13}{2}[102+60]](https://tex.z-dn.net/?f=%5Cfrac%7B13%7D%7B2%7D%5B102%2B60%5D)
= ![\frac{13}{2}[162]](https://tex.z-dn.net/?f=%5Cfrac%7B13%7D%7B2%7D%5B162%5D)
= ![13 \times 81](https://tex.z-dn.net/?f=13%20%5Ctimes%2081)
= 1053
Therefore, the sum of the series is 1053.
So, Option G is the correct answer.
Answer:
40 minutes
Step-by-step explanation:
Range = the highest value - the lowest value
= 45 mins - 5 mins = 40 mins
Answer:
1/18
Step-by-step explanation:
Answer:
Jiggly cycle type creep funny
Step-by-step explanation:
lol
The answer is:
B.
rational numbers
Because if you perform subtraction in a set of rational numbers, the result you get would still be a rational number.
This does not apply to the other sets.