30.03.2023 - 18:59

How do you find the nth term of the sequence 2,5,10,17,26,37,…?

Question:

How do you find the nth term of the sequence 2,5,10,17,26,37,…?

Answers (1)
  • Vina
    April 10, 2023 в 13:53
    The nth term of a sequence can be found using the formula: nth term = a + (n - 1)d where a is the first term, d is the difference between consecutive terms, and n is the term we are trying to find. In this sequence, we can see that the difference between consecutive terms is increasing by 1 each time. That is: 5 - 2 = 3 10 - 5 = 5 17 - 10 = 7 26 - 17 = 9 So, d = 3, 5, 7, 9, ... To find the first term, we can substitute n = 1 into the formula: a + (1 - 1)d = a We know that the first term is 2, so a = 2. Now, we can use the formula to find the nth term: nth term = 2 + (n - 1)d For example, to find the 4th term, we can substitute n = 4 and d = 9 into the formula: nth term = 2 + (4 - 1)9 = 29 Therefore, the 4th term of the sequence is 29.
Do you know the answer?
Not sure about the answer?
Find the right answer to the question How do you find the nth term of the sequence 2,5,10,17,26,37,…? by subject Math, and if there is no answer or no one has given the right answer, then use the search and try to find the answer among similar questions.
Search for other answers
New questions in the category: Math
Authorization
*
*

Password generation