Table of Contents
What is the 8th term of this arithmetic sequence?
The 8th term in the sequence, a8 , is 13.
How do you find the 21st term of an arithmetic sequence?
Detailed Solution
- Given: Sequence 3, 9, 15, 21.
- Formula used: Arithmetic progression(A.P) nth term an = a + (n – 1)d.
- Calculation: 3, 9, 15, 21, a = 3.
- ∴ The 21st term in the sequence 3, 9, 15, 21, is 123. Download Soln PDF. Share on Whatsapp.
What is the formula in finding the 5th term in the sequence?
Solution: To find a specific term of an arithmetic sequence, we use the formula for finding the nth term. Step 1: The nth term of an arithmetic sequence is given by an = a + (n – 1)d. Step 2: Now, to find the fifth term, substitute n = 5 into the equation for the nth term.
How do you find the 15th term?
The given sequence is an Arithmetic Progression (A.P.) . Common difference (d) can be calculated by subtracting any two consecutive terms, we get $ d = 4 – \left( { – 3} \right) = 4 + 3 = 7 $ . Therefore, the 15th term $ \left( {{a_{15}}} \right) $ of the given arithmetic sequence is equal to $ 95 $.
How do you find the nth term of an arithmetic sequence?
If the initial term of an arithmetic sequence is a 1 and the common difference of successive members is d, then the nth term of the sequence is given by: a n = a 1 + (n – 1)d The sum of the first n terms S n of an arithmetic sequence is calculated by the following formula: S n = n (a 1 + a n)/2 = n [2a 1 + (n – 1)d]/2
How do you find the 35th term in a sequence?
the first term ( {a_1}) the common difference between consecutive terms (d) and the term position (n ) From the given sequence, we can easily read off the first term and common difference. The term position is just the n value in the {n^{th}} term, thus in the {35^{th}} term, n=35.
How to apply the arithmetic sequence formula?
Examples of How to Apply the Arithmetic Sequence Formula. Example 1: Find the 35 th term in the arithmetic sequence 3, 9, 15, 21, … There are three things needed in order to find the 35 th term using the formula: the first term ( {a_1}) the common difference between consecutive terms (d) and the term position (n )
What is the term position in the arithmetic sequence?
The term position is just the n=35 n = 35. Therefore, the known values that we will substitute in the arithmetic formula are Example 2: Find the 125 th term in the arithmetic sequence 4, −1, −6, −11, … = 4, and a common difference of −5.