In a GP, if the first term is 2 and the common ratio is -2, what is the 4th term
Practice Questions
Q1
In a GP, if the first term is 2 and the common ratio is -2, what is the 4th term?
8
-8
32
-32
Questions & Step-by-Step Solutions
In a GP, if the first term is 2 and the common ratio is -2, what is the 4th term?
Step 1: Identify the first term of the GP, which is given as 2.
Step 2: Identify the common ratio of the GP, which is given as -2.
Step 3: To find the 4th term, use the formula for the nth term of a GP: a * r^(n-1), where 'a' is the first term, 'r' is the common ratio, and 'n' is the term number.
Step 4: Substitute the values into the formula: a = 2, r = -2, and n = 4.
Step 5: Calculate the exponent: n - 1 = 4 - 1 = 3.
Step 6: Now calculate the 4th term: 2 * (-2)^3.
Step 7: Calculate (-2)^3, which is -2 * -2 * -2 = -8.
