Question

Need help! I’m rlly struggling with this math. Can anyone explain how to do it?

Answer 1

Answer: 234

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Step-by-step explanation:

As you can probably guess, the first equation
`a_1 = 3` says that the first term is 3. The small '1' indicates "first term". So writing
`a_2` represents the second term, then
`a_3` is notation for the third term, and so on.

The second term is found by plugging in n = 2 into the second equation and computing to get...

`a_n = 4*a_(n-1) + 2\\\\a_2 = 4*a_(2-1) + 2\\\\a_2 = 4*a_(1) + 2\\\\a_2 = 4*3 + 2\\\\a_2 = 12 + 2\\\\a_2 = 14\\\\`

The second term is 14. The steps above basically say: "to get the second term, we multiply the first term by 4, then add on 2"

In other words,

second term = 4*(first term) + 2

second term = 4*(3) + 2

second term = 12 + 2

second term = 14

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This can be extended to get the third term

third term = 4*(second term) + 2

third term = 4*(14) + 2

third term = 56 + 2

third term = 58

and finally,

fourth term = 4*(third term) + 2

fourth term = 4*(58) + 2

fourth term = 232 + 2

fourth term = 234