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.
Answer:
6 pecies
Step-by-step explanation:
You divide 3/4 and 1/8 to get your answer.
Answer:
Step-by-step explanation:
area of sector = {Ф ( in degrees)/360}πr²
Ф = 60
π=3.14
r=10
area = (60/360) x 3.14 x 10²
= (1/6)x3.14 x100 = (1/6)x314= 314/6 = 52.33
Answer 5.1
Order them from least to greatest and find the middle number. Or by calculating the mean by adding together the middle values and dividing them by two.
Answer:
a = 3
Step-by-step explanation:
Factorize (x+5)(x-4)(x+2)
(x+5)(x-4)(x+2)
= (x²-4x+5x-20)(x+2)
= (x²+x-20)(x+2)
= (x³+2x²+x²+2x-20x-40)
= x³+3x²-18x -40
Compare with x^3+ax^2
3x² = ax²
3 = a
Rearrange
a = 3
Hence the value of a that makes the expressions identical is 3
