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aliya0001 [1]
2 years ago
12

Please please help i beg ill give brainlist

Mathematics
1 answer:
Marta_Voda [28]2 years ago
4 0

Answer:

a_{15}=-268,435,456

Step-by-step explanation:

First, find what factor each term is multiplied by to get to the next. To do this, divide the second term by the first, the third term by the second, etc

4\div-1=-4\\-16\div4=-4\\64\div-16=-4

The common factor is 4. Using that, you can now write the equation for the geometric sequence in the form of:

a_n=a_1x^{n-1}

It looks scarier than it is. aₙ is the nth term in the sequence, x is the factor, and n is the index in the sequence, that's all it is.

Plug in the information we have to get the equation for this sequence:

a_n=(-1)(-4)^{n-1}

Then, you can solve for the 15th term:

a_{15}=(-1)(-4)^{15-1}\\a_{15}=(-1)(-4)^{14}\\a_{15}=(-1)(268,435,456)\\a_{15}=-268,435,456

Basically, just raise the scale factor to the power of the term you want minus 1, then multiply that by the first number.

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