Answer:
Step-by-step explanation:
In a geometric series, the successive terms differ by a common ratio which is determined by dividing a term by the preceding term.
The formula for determining the nth term of a geometric progression is expressed as
Tn = ar^(n - 1)
Where
a represents the first term of the sequence.
r represents the common ratio between successive terms in the sequence.
n represents the number of terms in the sequence.
From the seies shown,
a = 28
r = 98/28 = 343/98 = 3.5
The formula representing the nth term of the given sequence would be expressed as
Tn = 28 × (3.5)^(n - 1)
X² - 4x - 77 = 0
( x + 7) ( x - 11)
x + 7 = 0
x - 11 = 0
x = -7
x = 11
well, clearly the LCD from the denominators of 5 and 10 is just 10, thus
Hey there :)
( 2x⁵ - 3x⁴ + x² + 5x + 7 ) - ( - 4x⁵ - x⁴ - 3x² - 5x + 2 )
Let us combine like-terms
2x⁵ - ( - 4x⁵ ) - 3x⁴ - ( - x⁴ ) + x² - ( - 3x² ) + 5x - ( - 5x ) + 7 - 2
Minus and minus becomes plus
2x⁵ + 4x⁵ - 3x⁴ + x⁴ + x² + 3x² + 5x + 5x + 7 -2
6x⁵ - 2x⁴ + 4x² + 10x + 5
Your answer will be option A) 6x⁵ - 2x⁴ + 4x² + 10x + 5
