ACT Math · Sequences and series
A sequence is defined by a_n = 3n - 2. What is a_10?
A sequence is defined by . What is ?
Answer and explanation
Answer: J: 28
Substitute into the rule: , choice J. Choice H () drops the and gives only . Choice G () adds instead of subtracting it, since . Choice F () corresponds to , not a term number, so it does not follow from the formula for any valid . As a check, the sequence increases by each term, so by the tenth term it has grown by from the first term, giving , which agrees with the substitution.
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