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

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

Options:

Correct Answer: 41

Solution:

The nth term is given by a + (n-1)d. Here, a = 2, d = 3, and n = 15. So, the 15th term = 2 + (15-1) * 3 = 2 + 42 = 44.

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

A sequence is defined as 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: Identify the common difference (d) between the terms. The difference between 5 and 2 is 3, so d = 3.
Step 3: Determine which term we want to find. We want to find the 15th term, so n = 15.
Step 4: Use the formula for the nth term of the sequence: nth term = a + (n-1)d.
Step 5: Substitute the values into the formula: 15th term = 2 + (15-1) * 3.
Step 6: Calculate (15-1) which equals 14.
Step 7: Multiply 14 by 3, which equals 42.
Step 8: Add 2 to 42 to find the 15th term: 2 + 42 = 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, 'd' is the common difference, and 'n' is the term number.