The sum of the first n terms in a geometric sequence given the first term (a1) and the common ratio (r) is calculated through the equation,
<span>Sn </span>= (<span><span><span>a1</span>(1−<span>r^n</span>) / (</span><span>1−r)
Substituting the known terms,
Sn = (20)(1 - (1/4)^4)) / (1 - 1/4)
Sn = 26.5625
Thus, the sum of the first four terms is 26.5625. </span></span>
Answer:
x = 11
Step-by-step explanation:
3x - 7 = x + 15 ( subtract x from both sides )
2x - 7 = 15 ( add 7 to both sides )
2x = 22 ( divide both sides by 2 )
x = 11
Answer:
I don't know the answer, sorry! But I'm stuck on this question too and I was wondering if you figured out the answer?
Step-by-step explanation:
Step-by-step explanation:
In triangle,
<u> XYZ</u> <u>PYZ</u>
XZ = PZ = 12cm
XY = PY = 5cm
YZ = YZ (Common side)
<em><u>Hence</u></em><em><u>,</u></em>
As three sides of the two triangles are equal so,
<em><u>Triangle XYZ is congruent to Triangle PYZ by SAS congruence condition </u></em>
Answer:
The answer to your question is 3
Step-by-step explanation:
Expression
3⁴ + 9² / 3³ - 9²
1.- Do the division
3⁴ + (9² / 3³) - 9²
Use law of exponents
3⁴ + (3⁴ / 3³) - 9²
3⁴ + 3⁴⁻³ - 9²
Simplify
3⁴ + 3 - 9²
2.- Convert 9² to base 3
3⁴ + 3 - 3⁴
3.- Simplify (associative property)
( 3⁴ - 3⁴ ) + 3
4.- Result
3
