if the sum of first term of an Ap is 3n²/2 +5n/2.Find the 25th term
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Answer:
➡ Sn = 3n?/2 + 5n/2
✍ We know that,
nth term = (sum of nth term) -
(sum of (n-1)th term)
So, according to the question,
25th term = (sum of 25th term) -
(sum of (25-1)th term)
= (sum of 25th term) -
(sum of 24th term)
= [3(25)/2 + 5 (25)/2] - [3(24)²/2 + 5(24)/2]
= [1875/2 + 125/2] - [1728/2 + 120/2]
= (2000/2) - (864 + 60)
= 1000 - 924 = 76
▶ So, the 25th term of the
AP is 76.
Step-by-step explanation:
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