Answer:
The series is convergent answer ⇒ (a)
Step-by-step explanation:
* The series is -8/5 + 32/25 + -128/125 + ........
- It is a geometric series with:
- first term a = -8/5 and common ratio r = 32/25 ÷ -8/5 = -4/5
* The difference between the convergent and divergent
in the geometric series is :
- If the geometric series is given by sum = a + a r + a r² + a r³ + ...
* Where a is the first term and r is the common ratio
* If |r| < 1 then the following geometric series converges to a / (1 - r).
- Where a/1 - r is the sum to infinity
* The proof is:
∵ S = a(1 - r^n)/(1 - r) ⇒ when IrI < 1 and n very large number
∴ r^n approach to zero
∴ S = a(1 - 0)/(1 - r) = a/(1 - r)
∴ S∞ = a/1 - r
* If |r| ≥ 1 then the above geometric series diverges
∵ r = -4/5
∴ IrI = 4/5
∴ IrI < 1
∴ The series is convergent
Answer:
no
Step-by-step explanation:
The absolute value is EXACTLY 29, so.
Answer:
40 flapjacks
Step-by-step explanation:
Given the recipe :
Recipe: Makes 10 flapjacks
120 g margarine
100 g sugar
150 mL syrup
225 g oats
40 g sultanas
Given that all other ingredients are kept Constant.
225g of oats produces 10 flapjacks
0.9 kg of oat = 0.9 * 1000 = 900g oat
If :
225 g = 10 flapjacks
900 g = x
Cross multiply :
225x = 900 * 10
225x = 9000
x = 9000 / 225
x = 40
40 flapjacks
An integer is a rational number with a denominator of 1.or, more commonly just what you think of as a counting number, but may be negative.an irrational number cannot be expressed as a fraction. When written down as a decimal, they never terminate, so a decimal value is not exact. There are various kinds of irrational numbers.
151 ounces, or 9 pounds 7 ounces
16 ounces = 1 pound
131 ounces = 8.1875 pounds
After 4 weeks Omar gains 20 ounces, which is 1.25 pounds.
8.1875 + 1.25 = 9.4375 pounds
