A sequence is defined as follows: 2, 5, 8, 11, ... What is the 15th term of this

₹0.0

Question: A sequence is defined as follows: 2, 5, 8, 11, ... What is the 15th term of this sequence?

Options:

Correct Answer: 41

Solution:

The first term a = 2 and the common difference d = 3. The 15th term = a + (15-1)d = 2 + 42 = 44.

A sequence is defined as follows: 2, 5, 8, 11, ... What is the 15th term of this sequence?

A sequence is defined as follows: 2, 5, 8, 11, ... What is the 15th term of this sequence?

Step 1: Identify the first term of the sequence. The first term (a) is 2.
Step 2: Determine the common difference between the terms. The difference between 5 and 2 is 3, so the common difference (d) is 3.
Step 3: Use the formula for the nth term of an arithmetic sequence, which is: nth term = a + (n-1)d.
Step 4: Substitute the values into the formula to find the 15th term. Here, n = 15, so we calculate: 15th term = 2 + (15-1) * 3.
Step 5: Simplify the calculation: 15-1 equals 14, so we have 2 + 14 * 3.
Step 6: Calculate 14 * 3, which equals 42.
Step 7: Add 2 to 42 to find the 15th term: 2 + 42 equals 44.

Arithmetic Sequence – An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.
Formula for nth Term – The nth term of an arithmetic sequence can be calculated using the formula: a + (n-1)d, where 'a' is the first term and 'd' is the common difference.