What is the 4th term of the arithmetic sequence where the first term is 10 and t

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Question: What is the 4th term of the arithmetic sequence where the first term is 10 and the common difference is -2? (2023)

Options:

Correct Answer: 4

Exam Year: 2023

Solution:

The 4th term is given by a + (n-1)d = 10 + (4-1)(-2) = 10 - 6 = 4.

What is the 4th term of the arithmetic sequence where the first term is 10 and the common difference is -2? (2023)

What is the 4th term of the arithmetic sequence where the first term is 10 and the common difference is -2? (2023)

Step 1: Identify the first term of the sequence, which is given as 10.
Step 2: Identify the common difference of the sequence, which is given as -2.
Step 3: Determine the position of the term we want to find, which is the 4th term.
Step 4: Use the formula for the nth term of an arithmetic sequence: a + (n-1)d.
Step 5: Substitute the values into the formula: 10 + (4-1)(-2).
Step 6: Calculate (4-1) which equals 3.
Step 7: Multiply 3 by -2 to get -6.
Step 8: Add 10 and -6 together: 10 - 6 equals 4.
Step 9: Conclude that the 4th term of the sequence is 4.

Arithmetic Sequence – An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant, known as the common difference.
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.