Which term of the A.P. 5,15,25....will be 130 more than its 31st term.
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Answer :-
➡44
Given :-
➡Ap is 5 , 15 , 25 .......
➡a = 5
➡d = 15 - 5 = 10
Formula :-
➡An = a + ( n - 1 )d
To Find :-
➡Which Term Of The Given AP Will Be 130 More Than Its 31st Term
Solution :-
➡31st term = a + 30d
➡31st term = 5 + 30 × 10
➡31st term = 5 + 300
➡31st term = 305
➡An = 305 + 130
➡An = 435
➡An = a + ( n - 1 )d
➡435 = a + ( n - 1 )d
➡435 = 5 + ( n - 1 )10
➡435 - 5 = ( n - 1 )10
➡430 ÷ 10 = ( n - 1 )
➡43 = n - 1
➡
Hence , The 44th Term Of The Given AP Will Be 130 More Than Its 31st Term
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