Find the sum of the arithmetic sequence. (1 point)
-10, -7, -4, -1, 2, 5, 8
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OpenStudy (anonymous):
@UnkleRhaukus
OpenStudy (welshfella):
sum = (n/2) (a1 + l)
OpenStudy (anonymous):
i don't get what that equations mean lol
OpenStudy (welshfella):
where n = number of terms, a1 = first term and l = last term
OpenStudy (welshfella):
here n = 7 , a1 = -10 and l = 8
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OpenStudy (welshfella):
just plug those values into the formula and work it out
OpenStudy (welshfella):
= (7/2) * (-10+8)
= (7/2) * -2
= ?
OpenStudy (anonymous):
or, in this short case, you can add them one by one, may be a little bit faster ;)
OpenStudy (welshfella):
yes true - but its a good idea to remember the formula as well
OpenStudy (anonymous):
okay i have another question
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OpenStudy (anonymous):
OpenStudy (anonymous):
@welshfella
OpenStudy (anonymous):
?
Nnesha (nnesha):
for geometric sequence there are two formulas to find sum
it depends on ratio
if ratio is less than then you have to apply infinite geometric formula \[\large\rm \left| r \right| <1 \]
\[\huge\rm s_n = \frac{ a_1 }{ 1-r }\]
and if ratio is greater than one then use finite geo. \[\huge\rm s_n = a_1 ( \frac{ 1 -r^n }{ 1-r })\]
OpenStudy (anonymous):
its going smaller does that matter?
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Nnesha (nnesha):
what is ratio ?? r= ??
do you know how to find ratio ?
OpenStudy (anonymous):
no
Nnesha (nnesha):
to find ratio divide next term by one before term \[\huge\rm r = \frac{ a_2 }{ a_1 } , \frac{ a_4 }{ a_3 }\]
OpenStudy (anonymous):
so is the answer 1/768?
OpenStudy (anonymous):
@Nnesha
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Nnesha (nnesha):
how did you get that ?
OpenStudy (anonymous):
i added all of them
Nnesha (nnesha):
r is less than one ??
OpenStudy (anonymous):
yes
Nnesha (nnesha):
so apply infinite geo. formula
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