Evaluate the sum of each arithmetic or geometric series described. Sequences and series date scarsdale public schools. I can also tell that this must be a geometric series because of the form given for each term. There are other types of series, but youre unlikely to work with them much until youre in calculus. Worksheet by kuta software llc algebra 2 series and sequences practice test. Graphing exponential functions the graph of a function y abx is a vertical stretch or shrink by a factor of. Evaluate each arithmetic series described 4 duration. Evaluate each arithmetic series described 5 duration. S y um9ajd heh nwmi4tvh 1 cicnhfji 8nxi0tvea pa 6l kgyenbor pa5 s2 i. Worksheet by kuta software llc 2 evaluate each geometric. Evaluate each arithmetic series described 2 youtube. A 82 s0l1 p4b bkqu 3tia m vs 7o bfgthwuaur 3ei oluldc2.
This lesson assumes that you know about arithmetic sequences, how to find the common difference and how to find an explicit formula. You will need to determine if the series is arithmetic or geometric. If it is, find the common difference, explicit formula, and the three terms in the sequence after the last one given. Worksheet by kuta software llc3evaluate each arithmetic series described. And lets say its going to be the sum of these terms, so its going to be a plus d, plus a plus 2d, plus all the way to adding the nth term, which is a plus n minus 1 times d. So this is a geometric series with common ratio r 2.
If it is, find the common ratio, the term named in the problem, and the explicit formula. Arithmetic series formula video series khan academy. Q t cm yaddpek owkigtfh i 6iyndf kirnqictoed 6atl yg 3eobdr5a4 k2b. So the arithmetic series is just the sum of an arithmetic sequence. If it is, find the common difference, the 52nd term, the explicit formula, and the three terms in the sequence after the last one given. Worksheet by kuta software llc2evaluate each arithmetic series described. The formula for finding term of a geometric progression is, where is the first term and is the common ratio. If it is, find the common ratio, the 8th term, and the. This page explains and illustrates how to work with.
C p omca id pey cw9i9tsh 5 2ionwf8ixnli it je 9 yafl fg 0ebyrea 1 i2v. Find the sum of each arithmetic series described i a 5 n 30 and l 121 ii a 50 n 25 and d 4. W worksheet by kuta software llc evaluate each arithmetic series described. Arithmetic sequence is a list of numbers where each number is equal to the previous number, plus a constant. L q ymqa 2d re7 mwiidtwh9 ziknvfei vnli rt cer taxlsgbebbarsa m j2 b. Geometric sequence is a list of numbers where each term is obtained by multiplying the previous term by a constant.
The sum of an arithmetic series with n terms is equal to n times the average of the first and last terms. There are two ways to indicate that you are adding terms in a sequence. Evaluate each arithmetic series described 3 youtube. If it is, find the common ratio and the term named in the. Kuta arithmetic series alamanceburlington school system. For this sequence, the first term is 410546, the last term is.
Worksheet by kuta software llc evaluate each arithmetic series described. For now, youll probably mostly work with these two. A geometric series is the sum of the terms of a geometric sequence. Determine the number of terms n in each arithmetic series. Solution 5 find the sum of first 40 terms of the series. Worksheet by kuta software llc537 for an arithmetic series, s 5 65 2, a 5 19 2. An arithmetic series is the sum of the terms of an arithmetic sequence. Worksheet by kuta software llc algebra 2 sequences and series practice test. A series is created by adding terms in the sequence.
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