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Write an explicit formula for the sequence 8,3,-2,-7,-12… then find a14
This is an arithmetic progression with common difference, d= -5 and first term, a=8 Tn= a+(n-1)d Tn= 8+ (n-1) * -5 Tn= 8+-5(n-1) Tn= 8-5n+5 Explicit Formula: Tn= -5n+13 a14= -5(14)+13 = -70+13 = -57
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