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vlabodo [156]
3 years ago
7

What is the equation for a geometric sequence with a first term of 4 and a second term of −8?

Mathematics
1 answer:
mihalych1998 [28]3 years ago
5 0
<h3>Answer:</h3>

a_n=4(-2)^{n-1}

<h3>Step-by-step explanation:</h3>

The common ratio is -8/4 = -2. The general formula for the n-th term is ...

... an = a1·r^(n-1) . . . . . . note the use of the caret (^) and parentheses

For r = -2 and a1 = 4, this becomes ...

... an = 4·(-2)^(n-1) . . . . approximately matches the 2nd selection

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I need the complete answer to this problem, please circle the final answer and what I should write
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Answer:

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3 years ago
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zavuch27 [327]
It'd be easier to do #18 if y ou were to break it up:

                                                        14* (first term + 14th term)
Sum from n=1 to 14 of n =  S      = ---------------------------------
                                               14                       2
                                    
     14(1+14)
= ---------------- = 7(15) = 105 
           2

The sum of twice that is 210.  The sum of "1 from n=1 to n=14" is just 14.

The final sum is 210 + 14 = 224 (answer)
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