9514 1404 393
Answer:
60, 57, 54, 51, ...
Step-by-step explanation:
The general term of an arithmetic sequence is ...
an = a1 +d(n -1)
We would like to find the first term (a1) and the common difference (d). We can use the two given terms to find these parameters.
a10 = 33 = a1 +d(10 -1)
a22 = -3 = a1 +d(22 -1)
Subtracting the first equation from the second, we get ...
(-3) -(33) = (a1 +21d) -(a1 +9d)
-36 = 12d
-3 = d
Using this value in the first equation, we can find a1.
33 = a1 +9(-3) = a1 -27
60 = a1 . . . . . . . . . . . . . . add 27 to both sides
So, our sequence has first term 60 and a common difference of -3.
The first 4 terms are ...
60, 57, 54, 51, ...
Answer:
these are called veins
Step-by-step explanation:
I don't know if that's the answer you're looking for but have a nice day
The first thing we need to know is how much grass the grasshopper needs to eat.
We have:
"must eat half its body weight in grass each day":
(2 grams) * (1/2) = 1 gram
Then,
"1 blade of grass weighs 0.1grams"
Then the amount you need to eat is given by:
N = (1) / (0.1)
N = 10 blades of grass
Answer:
the grasshopper needs to eat 10 blades of grass each day
Answer:
a₄₂ = 107
Step-by-step explanation:
The nth term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₂₇ = 66 , then
a₁ + 26d = 66 , that is
- 12 + 26d = 66 ( add 12 to both sides )
26d = 78 ( divide both sides by 26 )
d = 3
Then
a₄₂ = - 16 + (41 × 3) = - 12 + 123 = 111
1. The best thing to do is to find out what 1% is. 235/100= 2.35
As you're looking for 27%, you then multiply 2.35*27= 63.45
As you're increasing it, you've then got to add this to the original amount.
235+63.45= 298.45
2. Again, find 1%. 24/100= 0.24
0.24*9= 2.16
24+2.16= 26.16
3. Find 1%. 1120/100= 11.2
As you're looking for 13.5%, you then multiply this by 13.5
11.2*13.5= 151.20
As you're subtracting, you then take this away from the original number.
1120-151.20= 968.80
4. This time, you can find 10%.
0.057/10= 0.0057
0.0057*5.5= 0.03135.
You've then got to subtract this as you're decreasing the number.
0.057-0.03135= 0.02565.
Sally's investment is now worth £585. (Find the 30% and add it on) and Susie's investment is now worth £585 (Find the 10% and subtract). They both have the same amount of money.
Hope this helps :)
