Given:
and
where
.
To find:
The explicit formula for the given recursive formula.
Solution:
We know that recursive formula of an AP is:

Where, d is the common difference.
We have,

Here, d=9.
The first term of the AP is
.
The explicit formula for an AP is:

Substituting
and
, we get



Therefore, the required explicit formula for the given sequence is
.
Pareallell lines have same slope
y=mx+b, m=slope
y=3x-8 so we need
y=3x+b
find b
so given (4,-5)
we can subsitute the point
(x,y)
(4,-5)
x=4 then y=-5
so
-5=3(4)+b
-5=12+b
-17=b
y=3x-17 is equation
D is answer
Answer:
There are 6 more girls than boys
Step-by-step explanation:
boys :girls : total
2 3 2+3 = 5
There are 30 total students
30/5 = 6
Multiply each number by 6
boys :girls : total
2*6 3*6 5*6
12 18 30
There are 18 girls and 12 boys
18-12 = 6
There are 6 more girls than boys
Answer:
Step-by-step explanation:
<u>Given</u>
- Base pay = $835
- Commission = 5,75% of sales (it is assumed commission rate same as in July)
- Sales in August = $24116
<u>Total pay in August:</u>
- Total pay= Base pay + commission
- 835 + 24116*0.0575 = $2221.67