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3 years ago

15

Find S11 for 1 + 2 + 4 + 8 +

1 answer:

Free_Kalibri [48]3 years ago

4 0

Evaluating the given sequence, it is evident that the next number is twice the number prior to it. Thus, the given is a geometric sequence with first term (a1) equal to 1 and common ratio of 2. The geometric series may be calculated by the equation,

Sn = a1 x (1 - r^n) / (1 - r)

where Sn is the sum of n terms in this case, n = 11.
Substituting the known values,

<span> Sn = 1 x (1 - 2^11) / (1 - 2) = 2047
</span>
Thus, S11 is 2047.

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2 years ago

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const2013 [10]

Answer:

$\mathrm{C)\:}x=15,\:-7$

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