Notice that 6 = 4+2,
11=6+5
19 = 11+8
30 = 19+11
Following the same pattern,
(next number) = 30 + 14 = 44
44 is the next number in the sequence 4, 6, 11, 19, 30, ...
Answer:
Divergent
Step-by-step explanation:
Given series has general term as

n+1 th term =
WE have to check whether this series converges or diverges
Let us use ratio test
Ratio of n+1 th term to nth term
=
by dividing numerator and denominator by n square
Take limits as n tends to infinity
The ratio tends to 2
Since ratio >2, the series diverges
The answer for this question would be 28
Answer:
Step-by-step explanation:
6(5x - 2) = -72
30x - 12 = -72
30x = -60
x = -2
answer is A
Answer:
x = 1, y = 3
Step-by-step explanation:
x = y - 2, so y = 4 (y - 2) -1
solve normally now
y = 4 (y - 2) -1
y = 4y - 8 - 1 (distribute)
y = 4y - 9 (simplify)
+9 -y -y +9
9 = 3y
3 = y
y - 2 = x
(3) - 2 = x
x = 1