HP 39GS HP 39gs_40gs_Mastering The Graphing Calculator_English_E_F2224-90010.p - Page 194
RECURSE, (<var_name>, <num>, <expression>), and then calculating
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RECURSE This functions is provided for programmers to let them define functions in the Sequence aplet. For example, typing RECURSE(U,U(N-1)*N,1,2) U1(N) seemingly produces no useful result in the HOME view, but would produce the result shown right in the SYMB view of the Sequence aplet. The resulting sequence is the factorial numbers. The syntax is: RECURSE(,,,) and it must be stored into a sequence such as U1,U2..U9,U0 for it to have any meaning. Σ (,,,) This function, also available on the keyboard, offers a way of calculating the results of summation notation problems. The syntax of the function is ordered in the same way as one reads a summation expression (see the examples below). Eg. 1 5 ∑ i2 which expands to 12 + 22 + 32 + 42 + 52 giving an answer of 55, i =1 can be evaluated using (I=1,5,I2) Eg. 2 6 ∑ xi where x1 = −2, x2 = 10, x3 = 13, x4 = 11, x5 = −20, x6 = 2 i =1 can be evaluated by first defining a list L1 as {-2,10,13,11,-20,2} and then calculating (I=1,6,L1(I)) Note: Although the variable I was used as the summation index in each of the cases above, there is nothing special about them. 'i', 'j' & 'k' are simply the letters traditionally used in mathematical problems involving summation. When working in the hp 40gs CAS it is not possible to use 'i' because the CAS will interpret it as i rather than as a variable name. 194
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