Therefore, the general term of the sequence is: an = 1/2 (n2 - n + 4) Problem 3: General Term of Arithmetic Sequence Using Condition 2 Find the general term for the sequence 2, 4, 8, 14, 22, . . .Solution a. Create a table of an and n values. ...
After you have learned to solve problems with arithmetic and quadratic sequences, you may be asked to solve problems with cubic sequences. As the name implies, cubic sequences rely on powers no higher than 3 to find the next term in the sequence. Depending on the complexity of the sequence...
Arithmetic sequences, the pattern of progressing numbers, can be classified by finding the difference between numbers in the sequence and then notating them into a formula. See the process of the two standard formulas used, as well as how to find them using terms. ...
Related to this Question How do you find the indicated term of a geometric sequence? Find the first five terms in this geometric sequence. a_n = 2^{n - 1} Find the first five terms of the geometric sequence given by: a_1 = -486, an = (-1/3)a_(n - 1) for n = 2, 3, ...
Steps for Expressing the nth Term of an Arithmetic Sequence as a Function of n Based on the Graph of the Arithmetic Sequence Step 1: Find the common difference of the sequence. Choose two points from the graph. Let us call them {eq}a_...
In the given sequence {eq}0,\,3,\,8,\,15,\,24... {/eq} we have to find its expression for the nth term. The given sequence is not arithmetic or...Become a member and unlock all Study Answers Start today. Try it now Create an account Ask a question Our ...
This is an arithmetic sequence with two variables, _xn and n. If you know one, you can find the other. For example, if you're looking for the 100th term (x_100), then n = 100 and the term is 502. On the other hand, if you want to know which ...
How to Learning Arithmetic Sequences with Project-Based Learning in Terrace Culture?Integrating mathematics into local culture is a way to enhance students' interest in local wisdom. The concept of mathematics is explored to find out the existence of mathematics in society's culture which has not ...
Method 1 – Using Arithmetic Formula to Calculate Date Range in Excel Enter the formula in Cell D5 and press Enter. =C5+7 The formula will give the following output. Enter the following formula in Cell C6. =D5+1 Press Enter to get the result. Copy Cell D5 to Cell D6. Select both...
In this sequence, the terms are the multiples of 3 going up to 60, and there are 20 multiples of 3 in 60. However, one more must be added to include the first term. So, the answer is 21. Using the formula for arithmetic sequence's nth term, we see that a+(n−1)d⇒13+(...