Please help me! ive been stuck on this for an hour and cant figure it out :(
1 answer:
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Answer:
= 96
Step-by-step explanation:
The n th term of a geometric sequence is
= a
where a is the first term and r the common ratio.
Both values have to be found.
Using
a₂ = - 144, then
ar = - 144 → (1)
a₅ = 486, then
a = 486 → (2)
Divide (2) by (1)
=
r³ = - 3.375 ( take the cube root of both sides )
r = - 1.5
Substitute r = - 1.5 into (1)
- 1.5a = - 144 ( divide both sides by - 1.5 )
a = 96
Hence explicit formula is
= 96
Answer:
1764 ways
Step-by-step explanation:
Given:
Men = 9
Women = 7
Required Men: 3
Required Women: 2
'
Required
Total Possible Outcome
The total possible outcome can be determine as follows;
Total = (Selection of Men) and (Selection of Women)
Calculating Selection of Men;
Let n represent total number of men; This implies that n = 9;
Let r represent number of men to select; This implies that r = 3;
The selection can be done in the following ways;
Where
Calculating Selection of Women;
Let n represent total number of men; This implies that n = 7;
Let r represent number of men to select; This implies that r = 2;
The selection can be done in the following ways;
Where
Recall that
Total = (Selection of Men) and (Selection of Women)
Hence,