Given a3=15,s10=125, find d and a10
please dhang sai ans doo please kal exam hai please full explanation please
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Answered by
1
Answer:
Let a is the first term and d is the common difference of the AP
Given, a3 = 15
=> a + 2d = 15
=> a = 15 - 2d ..............1
Again given
S10 = 125
=> (10/2)*{2a + (10 - 1)d} = 125
=> 5(2a + 9d) = 125
=> 2a + 9d = 125/5
=> 2a + 9d = 25
From equation 1, we get
2(15 - 2d) + 9d = 25
=> 30 - 4d + 9d = 25
=> 30 + 5d = 25
=> 5d = 25 - 30
=> 5d = -5
=> d = -5/5
=> d = -1
From equation 1,
a = 15 - 2(-1)
=> a = 15 + 2
=> a = 17
Now, a10 = a + 9d
=> a10 = 17 + 9*(-1)
=> a10 = 17 - 9
=> a10 = 8
Answered by
1
Answer:
Hey,
The answer of ur question is:
Step-by-step explanation:
Hope it helps...
Have a nice day.☀☀✌
all the best for ur exam and plz wish for me also because i m also in 10th.....
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