**Summations top top the Graphing Calculators**

and also wait because that the answer to appear.Here"s what we get:We review the input line together "the amount of the succession 1/k2as k goes native 1 to 20 by ones." That"s what the last "1" is:the increment.As discussed above, we may treat the 2nd example together the sum ofe-x2where x takes on the values 1.2, 1.4, 1.6, ..., 2.8, 3.0. Thatis, x goes native 1.2 to 3.0 in procedures of 0.2.Using the sum( and seq( regulates as before, we keyin the complete summation command and also then press. We get

MATH 202 | FALL 2002 |

**Evaluating Sumswith Graphing Calculators****Here are some examples showing just how to usage the TI-83 Plus, the TI-85,and the TI-89 to evaluate the kinds of sums that come up in numericalintegration and collection approximations of functions.We will work out two instances on every of the three calculators. First is a an easy summation the 1/k2 for kgoing from 1 to 20. In symbols,The 2nd is a contempt more complex sumin i beg your pardon the an ext natural index is no i, however (1 +(i/5)). In this example, we will certainly take benefit of the factthat we are actually adding up the values of the duty e-x2 as the change xtakes on the values 1.2, 1.4, 1.6, 1.8, ..., 2.8, 3.0.Click on the appropriate link to jump to the example using theTI-83 Plus,theTI-85,or theTI-89.On the TI-83 Plus**,we usage the sum( and seq( functions. Thesum( command is found under LIST, MATH. Toget there us press<2nd> LISTand then touch the right arrowkey double to highlight MATH. The sum( command isselection 5 top top the result list. Theseq( command is found under LIST, OPS. Toget there us press<2nd> list again,and climate touch the right arrowhead once to to mark OPS.The seq( command is again selection 5.Back top top the home screen, we have actually the displayand we"re prepared to crucial in the details of the an initial example. We wantto add up the expression 1/k2 for k goingfrom 1 come 20. We use the miscellaneous alpha and numeric tricks to completethe line as shown below. Us then press**On the TI-85**,we usage the sum( and also seq( functions,which are located on the perform OPS menu. To getthere, we press<2nd>

- and then

**On the TI-89**,there is a summation command (it reflects up together a resources sigma) underthe top-level Calc menu, however this turns out no to it is in asflexible together the sum( and seq( commands hiding underthe MATH list menu.In these examples, we will certainly usesum( and seq(.To uncover them, us press<2nd> $and\; then\; <3>\; to\; select\; the\; list\; menu.\; We\; press\; <6>\; to\; pick\; sum(so\; the\; "sum("\; appears\; in\; the\; input\; line),\; and\; then\; walk\; backthrough\; the\; regimen\; again:<2nd>$ <3>\; and\; also\; finally\; <1>\; to\; pick\; seq(.To\; finish\; the\; an\; initial\; example,\; we\; crucial\; in\; the\; debates\; tosum(seq(,\; so\; the\; the\; input\; line\; looks\; likesum(seq(1/k^2,k,1,20,1))This\; reads\; "the\; amount\; of\; 1/k2\; together\; k\; goes\; indigenous\; 1to\; 20\; through\; ones."\; the\; last\; "1"\; prior\; to\; the\; parentheses\; is\; the\; incrementvalue.\; We\; push,\; and\; also\; the\; calculator\; display\; screen\; shows\; united\; state\; apretty-print\; version\; of\; the\; sum-sequence\; us\; asked\; for,\; along\; with\; theexact\; answer:$$This could not it is in the many useful form for the answer; if we prefer adecimal approximation, we have the right to request one by pushing the greendiamond crucial and then

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The input heat readssum(seq(e^(-x^2),x,1.2,3,0.2))We press