The first term of an A.P. is -5 and the common difference is 2, then the sum of the first 6 terms is
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Solution:-
Given:-
=> First term ( a ) = -5
=> common difference ( d ) = 2
=> Number of term ( n ) = 6
Formula
:- Sₙ = n/2 { 2a + ( n - 1 )d}
Put the value of formula
=> S₆ = 6/2 { 2 × -5 + ( 6 - 1 ) × 2 }
=>S₆ = 3 { -10 + ( 5 × 2) }
=> S₆ = 3 { -10 + 10 }
=> S₆ = 3 × 0
=> S₆ = 0
More about AP
An arithmetic sequence is a list of numbers with a definite pattern.
If you take any number in the sequence then subtract it by the previous one, and the result is always the same or constant then it is an arithmetic sequence.
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