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Find the 10th term of the following geometric sequence. 4, 20, 100, 500,​

User Jdero
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Answer: 1,250,000

Step-by-step explanation: To find the 10th term of the given geometric sequence, we need to first determine the common ratio (r) between consecutive terms. We can do this by dividing any term by the previous term. Let's use the second and first terms for this:

r = 20/4 = 5

Now that we know the common ratio, we can use the formula for the nth term of a geometric sequence to find the 10th term:

an = a1 * r^(n-1)

where:

an = the nth term

a1 = the first term

r = the common ratio

n = the term we want to find

Substituting the values we know, we get:

a10 = 4 * 5^(10-1)

Simplifying, we get:

a10 = 4 * 5^9

a10 = 1,250,000

Therefore, the 10th term of the given geometric sequence is 1,250,000.

User Hussein Khalil
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