find the sum of all odd number between 1 and 1000 which are divisible by 5
singhsuneeta1975123:
this question is from a chapter AP ....
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find the sum of all odd number between 1 and 1000 which are divisible by 5
answer is 1000x5 = 5000
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Answer:
The sum of all odd numbers between 1 and 1000 which are divisible by 5 is
50000
Step-by-step explanation:
The AP that satisfies the given condition is--
5,15,25....995
Now, here first term 'a' =5
common difference 'd'= 10
Let nth term (An) be 995
=> By general formula, An= a+(n-1)d
= 5+(n-1)(10)= 995
= 10n-10=995-5
=10n-10=990
=10n=990+10
=>n= 1000/10
Hence, n=100 i.e, there are 100 terms in the AP
Now, by sum of 'n' terms formula, Sn= n/2{2a+(n-1)d}
=> Sn = 100/2 {2(5) + 99(10)}
= 50 (10+ 990)
= 50*1000
=50000
HOPE I WAS ABLE TO HELP!!
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