What is the explicit rule for the sequence on which the series is based? -Thank you :)
1 answer:
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Multiply the numerator and denominator by 7×2 = 14 to eliminate the denominators of those fractions:
Rationalize the denominator by multiplying both numerator and denominator by √10:
Lastly, cancel the common factor of 2 in both the numerator and denominator (which comes from 6 = 2×3 and 490 = 2×245):
Answer:
Explanation:
All the other expressions can be factorized. Let's see why:
1)
This is the sum of the cubes, and this can be factorized as follows:
In this case, a=m and b=1, so we can factorize as
2)
This is the difference between two cubes, and this can be factorized as follows:
In this case, a=m and b=1, so we can factorize as
3)
This is the difference between two square numbers, and it can be factorized as follows
In this case, a=m and b=1, so we can factorize as