Find the Sum of the first 10 terms of the AP if the first term is 0 and the common difference is 5
please give correct answer
Answers
Answered by
8
Step-by-step explanation:
Given,
First term(a) = 0
Common difference (d) = 5
To Find :-.
Sum of first 10 terms of an A.P
Formula Required :
Sum of first 'n' terms of an A.P :-
Sₙ = n/2[2a + (n - 1) d]
Solution :-
a = 0 , d = 5 , n = 10 :-
S₁₀= 10/2[2(0) + (10 - 1)(5) ]
S₁₀ = 5[ 0 + 9(5)]
S₁₀ = 5[45]
= 225
Sum of first 10 terms of an A.P = 225
Answered by
1
Answer:
225
Explanation:
According to the question
First term (a1)=0
Difference (d)=5
In AP ,
d = second term(a2) -first term (a1)
Therefore
5= a2 -a1
5=a2-0
a2=5+0
=5
similarly,
d=a3-a2
5=a3-5
a3=5+5
=10
In that way we got first 10 terms are-
0,5,10,15,20,25,30,35,40,45
If we add all these terms
0+5+10+15+20+25+30+35+40+45=225
I hope this will help you!
Thank u
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