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 ....

## Answer this Question

## Related Questions

- Math - The first term in a sequence of number is t1 = 4. The terms that follow ...
- MATH - Please help me with this!! The first term in a sequence of number is t1...
- math - 51.A sequence t is defined where the first term is –4. Each successive ...
- math30 - Sequences 1)A sequence has a first term of 24 and every other term is ...
- PreCalc - 1) Determine the value of r (put this number in the first blank) and ...
- Maths - 1..The first 2 terms of a geometric progression are the same as the ...
- math - in an arithmetic sequence the common difference is equal to 2.the first ...
- Pre-Calc/Trig... - The nth term of a geometric sequence is given by an = 1/4(4)^...
- math - !_,_,_,9,730,_,... terms in the sequence above are created such tht each ...
- MATH!! - ~Determine whether each sequence is arithmetic or geometric fund the ...

More Related Questions