Given the first term and ratio find the first four terms of a geometric sequence

The video tutorial explains how to find the first few terms of a geometric sequence using the formula a_n = a_1 * r^(n-1). It starts by introducing the formula and given values, then demonstrates the calculation of the second, third, and fourth terms step-by-step. The tutorial concludes with a recap of the process, ensuring understanding of the method used.

What is the formula used to find the nth term in a geometric sequence?

• a sub n equals a sub 1 plus n minus 1

• a sub n equals a sub 1 times n minus 1

• a sub n equals a sub 1 plus r to the n minus 1

• a sub n equals a sub 1 times r to the n minus 1

If a sub 1 is 3 and the ratio is 2, what is a sub 2 in the sequence?

• 3

• 6

• 9

• 12

How do you calculate a sub 3 in a geometric sequence with a sub 1 as 3 and ratio as 2?

• 3 times 2 squared

• 3 times 2 to the power of 4

• 3 times 2 cubed

• 3 times 2

What is the value of a sub 4 in the sequence where a sub 1 is 3 and the ratio is 2?

• 30

• 18

• 12

• 24

What is the process to find terms in a geometric sequence?

• Add the ratio to the previous term

• Multiply the first term by the ratio raised to the power of n minus 1

• Subtract the ratio from the previous term

• Divide the first term by the ratio