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ASHA 777 [7]
3 years ago
7

Which recursive sequence would produce the sequence 6, 20, 62, …

Mathematics
1 answer:
klasskru [66]3 years ago
4 0

Step-by-step explanation:

Using an online calculator, I was able to find that one pattern is

a_{n} = a_{n-1} + 14 * 3^{n-1} . Finding a recursive sequence is generally based on guess and check, so there isn't much explanation to obtaining one

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Can someone help with these problem please?
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The missing exponent is -3. The exponent on the x variable only applies to x, so with that in mind, only x is in the denominator. This means that its exponent needs to be a negative. A negative exponent flips its base to the reciprocal making x into 1/x. When multiplying only an exponent, you multiply the two exponents. For example: (y^4)^2 = y^8. 2 times 3 is 6.

The missing exponent is -3. A negative exponent flips the base to its reciprocal making 2x/3 into 3/2x, and 3^3 is 27. The same applies to 2x. (2x)^3 is 8x^3.

The other one’s missing exponent is 2. As, mention before, a negative exponent results in flipping the base to its reciprocal making 1/3 into 3. 3^3 is 27. You can figure out which exponent make 3 into 9 which is 2.
Hope this helped.
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Step-by-step explanation:

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