how to find the formula for the nth partial sum?
13510
The nth partial sum of this series is sn = ( 1 - 1 2 ) + (1 2 - 1 3 ) + (1 3 - 1 4 ) + (1 4 - 1 5 ) + ··· + (1 n - 1 n + 1 ) = 1 - 1 n + 1 . sn = 1, the series converges with sum 1. arn = a + ar + ar2 + ar3 + ··· , where a is a constant and r is called the ratio of the series.
227219
['multiply each term in one polynomial by each term in the other polynomial.', 'add those answers together, and simplify if needed.']
707038
['Step 1: Move the decimal point so that you have a number that is between 1 and 10. ... ', 'Step 2: Count the number of decimal places moved in Step 1 . ... ', 'Step 3: Write as a product of the number (found in Step 1) and 10 raised to the power of the count (found in Step 2).']
1269442
Since the difference is the same for each set, you can say that the common difference is 3. Therefore, you can say that the formula to find the common difference of an arithmetic sequence is: d = a(n) - a(n - 1), where a(n) is the last term in the sequence, and a(n - 1) is the previous term in the sequence.
1233438
Answer and Explanation: There are a number of pairs of mixed numbers that sum up to 3. Some of those include the following: 1 1/4 + 1 3/4 = 3. 1 1/2 + 1 1/2 = 3.
1148170
['Name. sum() Function — Converts all nodes in the argument node-set to numbers, and then returns the sum of all of those numbers. ... ', 'Synopsis. number sum( node-set )', 'Inputs. A node-set. ... ', 'Output. The sum of the numeric values of all of the nodes in the argument node-set. ... ', 'Defined in. ... ', 'Example.']
1288259
The formula for the nth term of an arithmetic sequence is given by An = a + (n - 1)d, where a is the first term, n is the term number and d is the common difference.
797642
To find the sum of a finite geometric series, use the formula, Sn=a1(1−rn)1−r,r≠1 , where n is the number of terms, a1 is the first term and r is the common ratio .
207778
an = a1 + (n - 1 ) d This is the formula that will be used when we find the general (or nth) term of an arithmetic sequence.
1177088
['To sum a column of numbers, select the cell immediately below the last number in the column. ... ', 'AutoSum is in two locations: Home > AutoSum, and Formulas > AutoSum.', 'Once you create a formula, you can copy it to other cells instead of typing it over and over. ... ', 'You can also use AutoSum on more than one cell at a time.']
9332
['Enter 6:45 in cell B2, and enter 9:30 in cell B3.', 'In cell B4, enter =B2+B3 and then press Enter. The result is 16:15—16 hours and 15 minutes—for the completion the two tasks. Tip: You can also add up times by using the AutoSum function to sum numbers. Select cell B4, and then on the Home tab, choose AutoSum.']
1046945
The formula for the nth term of an arithmetic sequence is given by An = a + (n - 1)d, where a is the first term, n is the term number and d is the common difference. ... Plugging the required values in to the formula, we can obtain the required nth term of the arithmetic sequence.
1108915
The formula for a combination is: nCr = (n!)/(r!( to access the probability menu where you will find the permutations and combinations commands. Using the TI-84 Plus, you must enter n, insert the command, and then enter r. See the PROB menu in the first screen. See the shortcut menu in the second screen.
562351
It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.
570208
So the formula a(n) = S(n) -S(n-1) works only for n > 1. For n = 1, a(n) = S(n) and that make sense because a(1) is first term and S(1) is sum of first 1 term.
1004195
['1 × 36 = 36.', '2 × 18 = 36.', '3 × 12 = 36.', '4 × 9 = 36.', '6 × 6 = 36.']
33505
The 'nth' term is a formula with 'n' in it which enables you to find any term of a sequence without having to go up from one term to the next. 'n' stands for the term number so to find the 50th term we would just substitute 50 in the formula in place of 'n'.