Arithmetic sequences? Pre-Calc?
How do i do this problem? -7,4,15,26...
Which of the following is not true?
a. The tenth term is 92
b. the common difference is 11.
c. the recursive rule is a1=-7 ; an = 11+ n
d. the explicit rule is an = -7 + 11(n-1)
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Verified answer
a.true
b.true
c.false
d. true
c isn't true.
explanations:
a) a10 =a₁+(10-1)d =>a₁+9d
a₁=-7 and d=11
a10=-7+9(11) =92 true
b) we saw in a) that this is true.
a₂=a₁+d
a₁+d=4 =>-7+d=4 =>d=11
c) the remaining one is false.
d) an = a₁+(n-1)d =>-7+11(n-1) true.