15,10,5..... In this AP sum of first 10 terms is.....?
The answer is -75
Please solve with proper steps.
Answers
Answered by
325
Hey friend
Here is your answer
15,10,5..........
a=15
d=10-15= -5
n=10
![sn = \frac{n}{2} \times (2a + (n - 1)d) \\ \\ sn = \frac{10}{2} \times (2 \times 15 + (10 - 1) \times - 5) \\ \\ sn = 5 \times (30 + (9) \times - 5) \\ \\ sn = 5 \times (30 - 45) \\ \\ sn = 5 \times ( - 15) \\ \\ sn = - 75 sn = \frac{n}{2} \times (2a + (n - 1)d) \\ \\ sn = \frac{10}{2} \times (2 \times 15 + (10 - 1) \times - 5) \\ \\ sn = 5 \times (30 + (9) \times - 5) \\ \\ sn = 5 \times (30 - 45) \\ \\ sn = 5 \times ( - 15) \\ \\ sn = - 75](https://tex.z-dn.net/?f=sn+%3D++%5Cfrac%7Bn%7D%7B2%7D++%5Ctimes+%282a+%2B+%28n+-+1%29d%29+%5C%5C++%5C%5C+sn+%3D++%5Cfrac%7B10%7D%7B2%7D++%5Ctimes+%282+%5Ctimes+15+%2B+%2810+-+1%29++%5Ctimes++-+5%29+%5C%5C++%5C%5C+sn+%3D+5+%5Ctimes+%2830+%2B+%289%29+%5Ctimes++-+5%29+%5C%5C++%5C%5C+sn+%3D+5+%5Ctimes+%2830+-+45%29+%5C%5C++%5C%5C+sn+%3D+5+%5Ctimes+%28+-+15%29+%5C%5C++%5C%5C+sn+%3D++-+75)
So the sum of first 10 terms of this AP are -75
HOPE THIS HELPS YOU ☺
Here is your answer
15,10,5..........
a=15
d=10-15= -5
n=10
So the sum of first 10 terms of this AP are -75
HOPE THIS HELPS YOU ☺
PrincessNumera:
superb
Answered by
80
Sum of first 10 terms is - 75
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