The nth term of a sequence is 3n+1
Web(a geometric sequence). Each successive term is multiplied by 3, so for any term n (where n>=1), its denominator would be 3^(n-1). Then notice that every numerator is 4 less than its denominator, so the formula for the … WebThe partial sum of a sequence gives as the sum of the first n terms in the sequence. If we know the formula for the partial sums of a sequence, we can find a formula for the nth term in the sequence. ... + a2 (second term) + .... (all in between) + a(n-1) (term right before last or nth term) + an (last term/nth term). Hope this helps ...
The nth term of a sequence is 3n+1
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WebNov 3, 2024 · 3n^2-1 The second term and fifth term of the sequence are; (a) T (2nd) = 11 (b) T (5th) = 74 According to the question, the nth term is given as; Nth = 3n² - 1. … WebJun 29, 2024 · But if you replace 28 with 26. The general term of the sequence would be an = 3n^2 − n + 2. Question: What is the explicit formula for the nth term of the sequence 1,0,1,0? Answer: The explicit formula for the nth term of the sequence 1,0,1,0 is an = 1/2 + 1/2 (−1)^n, wherein the index starts at 0.
WebThe first five terms of the sequence: \ (3n + 4\) are 7, 10, 13, 16, 19 Quadratic sequences The nth term for a quadratic sequence has a term that contains \ (x^2\). Terms of a... WebThe equation for calculating the sum of a geometric sequence: a × (1 - r n) 1 - r Using the same geometric sequence above, find the sum of the geometric sequence through the 3 rd term. EX: 1 + 2 + 4 = 7 1 × (1-2 3) 1 - 2 = -7 -1 = 7 Fibonacci Sequence
WebAug 31, 2012 · Corbettmaths - This video shows how to find the nth term and how to use it to find terms in a sequence.Exam Questions: http://corbettmaths.com/wp-content/upl... Weba 8 = 1 × 2 7 = 128. Comparing the value found using the equation to the geometric sequence above confirms that they match. The equation for calculating the sum of a …
WebWrite the first five terms of the sequence with \ (n\)th term \ (3n + 4\). \ (n\) represents the position in the sequence. The first term in the sequence is when \ (n = 1\), the...
WebSep 26, 2024 · Using the formula, nth term = 2 + (n - 1)x1 + ½ (n - 1) (n - 2)x2. Getting rid of brackets (and noticing that ½ x 2 = 1): nth term = 2 + n - 1 + n2 - 3n + 2. I'm a bit confused on exponential sequences. how do I find the second term? Advertisement Still have questions? Find more answers Ask your question New questions in Math oldest person to start boxingWebStep 1: Enter the terms of the sequence below. The Sequence Calculator finds the equation of the sequence and also allows you to view the next terms in the sequence. Arithmetic Sequence Formula: a n = a 1 + d (n-1) Geometric Sequence Formula: a n = a 1 r n-1. Step … This is a geometric sequence since there is a common ratio between each term. In … This is a geometric sequence since there is a common ratio between each term. In … oldest person to win a majorWebAnswer by Timnewman (319) ( Show Source ): You can put this solution on YOUR website! The first three terms of 3n-are as follows: 1st term=3 (1)-1 =3-1=2 2nd term=3 (2)-1 =6-1 … oldest person to swim the english channelWebThe nth term of an arithmetic sequence is given by : an=a1+(n−1)d an = a1 + (n−1)d To find the nth term, first calculate the common difference, d. Next multiply each term number of … oldest person with dravet syndromeWebWrite an expression for the nth term of this sequence: 5/3, 11/7, 29/11, 83/15, 245/19, a. an = 3n -1/2n b. an = 3n +2/4n-1 c. an = n2 +1/2n+1 d. an = 3n +2/5n-2 Question: Write an expression for the nth term of this sequence: 5/3, 11/7, 29/11, 83/15, 245/19, a. an = 3n -1/2n b. an = 3n +2/4n-1 c. an = n2 +1/2n+1 d. an = 3n +2/5n-2 oldest person with autismWeb1 1 , 3 3 , 9 9 , 27 27 , 81 81 , 243 243. This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 3 3 gives the next term. In other words, an = a1rn−1 a n = a 1 r n - … my pension online gmppWebSolution: Given, Sequence a n = 3n + 1. To obtain the first five terms, substitute n = 1, 2, 3, 4, 5. a 1 = (3 × 1) + 1 = 3 + 1 = 4 a 2 = (3 × 2) + 1 = 6 + 1 = 7 a 3 = (3 × 3) + 1 = 9 + 1 = 10 a 4 = (3 × 4) + 1 = 12 + 1 = 13 a 5 = (3 × 5) + 1 = 15 + 1 = 16. Therefore, the first five terms are 4, … my pension online falkirk council