Posted by **Kate** on Wednesday, July 6, 2011 at 7:09pm.

The first term in a sequence of number is t1 = 4. The terms that follow are defined by the formula: tn - tn-1 = 3n -2. Determine the value of t50.

- Math(Pre=Calc) -
**Reiny**, Wednesday, July 6, 2011 at 8:41pm
so

t2 = t(1) + 3(2) - 2 = 4 + 4 = 8

t3 = t2 + 3(3)-2 = 8 + 7 = 15

t4 = t3 + 3(4) - 2 = 15+10=25

t5 = t4 + 3(5) - 2 = 25+13 = 38

so the sequence is

4 8 15 25 38 ...

first differences: 4 7 10 13 ....

second diff : 3 3 3 3 ...

ahhh, so the expression is quadratic.

see if can come up with a quadratic to express the sequence 4 8 15 25 38 ....

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