find the sum of first 30terms of the sequence 5,10,15,20,..
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find the sum of first 30terms of the sequence 5,10,15,20,..
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Answer:
2325
Step-by-step explanation:
The terms, 5, 10, 15, 20... are in AP
Formula => Sum of AP = n/2 (2a + (n - 1)d)
Here:
n is number of terms, a is first term, and d is common difference.
n = 30
d = 10 - 5 = 5
a = 5 (first term)
=> n/2 (2a + (n-1)d)
=> 30/2 (2 × 5 + (30 - 1)5)
=> 15 (10 + 29 × 5)
=> 15 (10 + 145)
=> 15 (155)
=> 2325
Sum = 2325
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Hence , sum of first 20 terms is 1050
refer image xD xD