Write an explicit formula for the sequence 8,3,-2,-7,-12… then find a14

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20-04-2015
Mathematics

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Write an explicit formula for the sequence 8,3,-2,-7,-12… then find a14

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logo88 logo88 · Answer 1 · 2015-04-20T21:01:25-04:00

logo88 logo88

20-04-2015

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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