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musickatia [10]
3 years ago
14

1.2,3,7.5,18.75 which formula can used to describe the sequence?

Mathematics
1 answer:
n200080 [17]3 years ago
8 0

Answer:

a_n=1.2 \cdot 2.5^{n-1}

Step-by-step explanation:

The first step is to realize that this is a geometric sequence, where each next term in the sequence is 2.5 times larger than the previous. You can confirm this by the fact that 3=1.2*2.5, 7.5=3*2.5, and 18.75=7.5*2.5. Now, you can write the formula, where n is where the number is in the sequence, and a is the number itself. Since 1.2 is the first term in the sequence and the rate of expansion is 2.5, the formula is:

a_n=1.2 \cdot 2.5^{n-1}

Hope this helps!

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