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olga_2 [115]
4 years ago
6

Evaluate this expression : 5x^3 - 7/4x^2. x=2

Mathematics
1 answer:
Mkey [24]4 years ago
5 0
5(2)^3-7/ 4(2)^2 =  5(8) - 7 / 4(4) = 40-7/ 16 = 33/16

1. Substitute 2 in to the places where x are.
2.solve the square root first then multiply whats outside the square root with the numbers. (2)^3 = 8 and (2)^2 = 4, now multply 5 x 8 = 40 and multiply 4 x 4= 16
3. subtract 7 from 40 to get 33.
4. Check if it can be further simplified, this cant so the answer is 33/16



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<u>Geometric Sequences</u>

There are two basic types of sequences: arithmetic and geometric. The arithmetic sequences can be recognized because each term is found as the previous term plus a fixed number called the common difference.

In the geometric sequences, each term is found by multiplying (or dividing) the previous term by a fixed number, called the common ratio.

We are given the sequence:

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It's easy to find out this is a geometric sequence because the signs of the terms are alternating. If it was an arithmetic sequence, the third term should be negative like the second term.

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Testing with the third term:

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Now we're sure it's a geometric sequence with r=-1/4, we use the general equation for the nth term:

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