thus the required first three terms of the sequence defined by an=3n+2 are 5,8and11.
What are the first three terms of the sequence 3n 2?
To find out the first three terms of 3n + 2 substitute 1 ,2 and 3 into the equation. 3(1)+2=5 3(2)+2=8 3(3)+2=11 As you can see the sequence goes up in 3s 5 ,8, 11 To find out the 10th term you also substitute 10 into the equation so 3(10)+2=32 Hope this helped!
What is the next three terms in the sequence?
A recognizable pattern is determined by adding 3 to the first term to get the second term, then adding four to the second term to get the third, and so on. Using this pattern, the next three terms in the sequence are 20, 27, and 35.
What are the first five terms of the sequence?
Therefore, the first five terms of the sequence are 1, 4, 7, 10, 13. Now consider the sequence defined by the general term a n = 1 / n. The first five terms are 1/1, 1/2, 1/3, 1/4, and 1/5.
How do I find the formula for the sequence?
The explicit formula for a geometric sequence is of the form a n = a 1 r-1, where r is the common ratio. A geometric sequence can be defined recursively by the formulas a 1 = c, a n+1 = ra n, where c is a constant and r is the common ratio.
How do you find the term of a sequence?
The general formula for any sequence involves the letter n, which is the position of the term in the sequence (the first term would be n = 1, and the 20th term would be n = 20), as well as the rule to find each term. You can find any term of a sequence by plugging n into the general formula,…
What is the fifth term of the sequence?
So the 5-th term of a sequence starting with 1 and with a difference (step) of 2, will be: 1 + 2 x (5 – 1) = 1 + 2 x 4 = 9. For a geometric sequence, the nth term is calculated using the formula s x s(n – 1). The 5-th term of a sequence starting with 1 and with a ratio of 2, will be: 1 x 2 4 = 16.
