Which term of the series 3, 1, -1, -3, ...... is - 23 ?
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given that:
a=3 ; d= 1-3 = -2 ; a(n) = -23 ; n= ?
=> a(n) = a+(n-1)×d
=> -22 = 3+ (n-1)×(-2)
=> -22 - 3 = (n-1) ×(-2)
=> -25 = (n-1) ×(-2)
=> 25÷2 = n-1
=> 12.5 + 1= n
=> n = 13.5
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