Answer:
Step-by-step explanation:
<u>Sum of infinite GP is</u>:
<u>The second term is</u>:
<u>Eliminate r in the system:</u>
- a/(1-r) = 16 ⇒ a = 16 - 16r ⇒ 16r = 16 - a ⇒ r = 1 - a/16
- ar = -0.5 ⇒ r = -0.5/a
<u>Compare the two equations and solve for a:</u>
<u>Multiply both sides by 16a:</u>
- 16a - a² = -8
- a² - 16a = 8
- a² - 16a + 64 = 72
- (a - 8)² = 72
- a - 8 = ±√72
- a = 8 ± √72
- a = 8 + 6√2
- a = 8 - 6√2, excluded as it is negative and makes common difference positive and so an increasing function
a = 8 - 6√2 = -0.4852 ⇒ r = -0.5/a = -0.5/-0.4852 = 1.03 > 1
I think is 192 but I'm not sure
Answer:
Identify the sequence, hten use the formula to find the first term a1=2
Identify the sequence, then use if the formula to find the second term a3=-6
Step-by-step explanation:
The mixed number would be larger depending on what it is...