Sequence: -4, 8, -16
rate of increase: -16/8 = -2
If you make A1 the first term in the sequence you must use (n-1) in the explicit formula. If you go backwards in the sequence to find A0 = 2 then you would use n.
The don't have A0 = 2 listed as an option so we use A1 = -4 and (n-1) terms.
An = -4(-2)^(n-1)
Solving for the 5th term A5, use n = 5
A5 = -4(-2)^(5-1)
A5 = -4(16)
A5 = -64
So the answer is B.
Answer:
Step-by-step explanation:
Area of triangle is 40 cm² correct to nearest 5cm² .
∴ Area of triangle = ( 40 ± 5) cm²
∴ upper bound for area of triangle is = (40 + 5) cm² = 45cm²
Base of triangle = 9cm
∵ area of triangle = 1/2 base × height
height = 2 × area of triangle/base
∴ upper bound for height of triangle = 2 × upper bound area/base
= 2 × 45/9 = 10cm
Hence answer is 10cm
Answer:
1) 6
2) 8
Step-by-step explanation:
Answer:
x = 4
Step-by-step explanation:
Since the terms are in an arithmetic progression then there is a common difference between consecutive terms, that is
2x - 1 - (x + 1) = x + 5 - (2x - 1) ← distribute parenthesis on both sides
2x - 1 - x - 1 = x + 5 - 2x + 1, that is
x - 2 = - x + 6 ( add x to both sides )
2x - 2 = 6 ( add 2 to both sides )
2x = 8 ( divide both sides by 2 )
x = 4
The 3 terms are 5, 7, 9
