Math, asked by singhsuneeta1975123, 3 months ago

find the sum of all odd number between 1 and 1000 which are divisible by 5 ​


singhsuneeta1975123: this question is from a chapter AP ....

Answers

Answered by Anonymous
0

Answer:

find the sum of all odd number between 1 and 1000 which are divisible by 5

answer is 1000x5 = 5000

Answered by mathurishita0225
1

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!!


singhsuneeta1975123: thanku ....u explain it so well ☺️
mathurishita0225: You're welcome :)
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