Answer: sum of the first 12 terms is
158944
Step-by-step explanation:
In a geometric series, successive terms differ by a common ratio. The formula for the sum of n terms, Sn in a geometric sequence is expressed as
Sn = a(r^n - 1)/(r - 1)
Where
a represents the first term of the sequence.
r represents the common ratio.
n represents the number of the terms in the sequence.
From the information given, we want to determine S12, so
n = 12
a = 4
r = 10/4 = 25/10 = 2.5
S12 = 4(2.5^12 - 1)/(2.5 - 1)
S12 = 4(59605 - 1)/1.5
S12 = (4×59604)/1.5
S12 =238416/1.5 = 158944
Answer:
If,
But 3^x ≠ 21875,if x is a whole number.
<h2>HOPE U UNDERSTOOD</h2><h3>THANKS★</h3><h3>Any doubts?COMMENT PLEASE</h3>
Answer:
<2 = 90
Step-by-step explanation:
If the lines are perpendicular, the angles are 90 degrees
Answer:
c.) in the correct answer
Answer:
The number of small and large boxes purchased are:
- 2 small boxes.
- 6 large boxes.
Step-by-step explanation:
To solve the unknowns, two equations must be established with the information provided:
- 150X + 400Y = 2700 (the price of the boxes and the final number of nails, where X is the small boxes and Y the large boxes)
- Y = 3X (Large boxes are triple the small ones)
Then equation 2 is replaced in equation one and variable X is cleared:
- 150X + 400 (3X) = 2700
- 150X + 1200X = 2700
- 1350X = 2700
- X = 2700/1350
- <u>X = 2
</u>
Finally, the value of X is replaced in equation 2 to find the number of large boxes:
- Y = 3X
- Y = 3 (2)
- <u>Y = 6</u>