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What is the sum of a 6-term geometric sequence if the first term is 11, the last term is –11,264 and the common ratio is –4?
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\[\large s_{n} = \frac{a_{1}(r^{n}-1)}{r-1}\]
n =6 a1 = 11 r = -4
does that make sense?
sn=11(-4-1)/-4-1?
yes except the " -4" on top should be raised to the 6th power
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okay so -4^6-1?
yep
make sure you include the negative sign when raising to power.....-4^6 is different than (-4)^6
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