Dawnbridge

TI-Nspire CX II field manual for IB Math

Everyone · 10 of 45

10

Summing a sequence

All courses

Use the calculator's Σ command to add the terms of a sequence over a specified range.

Goal

Find ​n=1∑12​3(1.2)n−1.

1

From the Scratchpad calculator, press → 4: Calculus → 3: Sum to insert the ​Σ​ template, with boxes for the index, limits, and summand.

2

Fill the template, moving between boxes with : type for the index, for the lower limit, and for the upper limit. Type the summand with .

3

Press to evaluate.

Scratchpad
RAD
n=1∑12​3(1.2)n−1
118.7415067
Result

​n=1∑12​3(1.2)n−1≈119.

Your turn

Work each one on your calculator, then check the answer.

  1. 1

    Find ​n=1∑18​4(1.15)n−1.

  2. 2

    Find ​n=1∑10​5(0.8)n−1.

  3. 3

    Find ​n=1∑20​n(0.8)n.