Pls answer this AP 30th problem
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30th problem
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Answer: HOPE THAT IT MAY HELP YOU
Step-by-step explanation:
Sum of n terms of an A.P., S n = n/ 2 [2a + (n – 1)d]
Given that the sum of the first 10 terms is 210.
⇒ 10 / 2 [2a + 9d ] = 210
⇒ 5[ 2a + 9 d ] = 210
⇒2a + 9d = 42 ----------- (1)
15 th term from the last = ( 50 – 15 + 1 ) th = 36 th term from the beginning
⇒ a36 = a + 35d
Sum of the last 15 terms = 15/2 [2a36 + ( 15 – 1)d ] = 2565
⇒ 15 / 2 [ 2(a + 35d) + 14d ] = 2565
⇒ 15 [ a + 35d + 7d ] = 2565
⇒a + 42d = 171 ----------(2)
Multiplying (2)*2
we get d=4 and a=3
a.p=3,7,11,15
Answered by
1
Answer:The four numbers are 8, 10, 12, 14.
Hey bro here is your answer if this helps you please mark it as brainliest.
And if you have any doubt feel free to ask in the comment box.
Thank you.
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