Answer:
The first term is 3. The common difference is 2.
Step-by-step explanation:
The first term is x.
The common difference is d.
The second term is x + d.
3rd term: x + 2d
4th term: x + 3d
7th term: x + 6d
"The fourth term of an Arithmetic Sequence is equal to 3 times the first term"
x + 3d = 3 * x Eq. 1
"the seventh term exceeds twice the third term by 1"
x + 6d = 2(x + 2d) + 1 Eq. 2
Simplify Eq. 1:
2x = 3d
Simplify Eq. 2:
x + 6d = 2x + 4d + 1
x = 2d - 1
Multiply both sides of the last equation by 2.
2x = 4d - 2
2x = 3d (simplified Eq. 1)
Since 2x = 2x, then the right sides are equal.
3d = 4d - 2
d = 2
2x = 3d
2x = 3(2)
2x = 6
x = 3
Answer: The first term is 3. The common difference is 2.
Answer:
Mikey had 5 cookies. His friend took 2 with him when he left. How many cookies does Mikey have left?
Step-by-step explanation:
Here, 5 would be the starting amount.
-2 would be the amount taken away.
3 would be our final answer.
Answer:
(Choice A) A The 1 Seed
Step-by-step explanation:
The computation is shown below:
The highest rate of apple per tree is
For Seed
= 38,614 ÷ 84 = 460 approx
For Sweet and sour
= 75509 ÷ 178 = 424 approx
And, for apple valley
= 135220 ÷ 3212
= 433 approx
As it can be seen that the highest rate per of apple per tree is of seed i.e. 460 approx
hence, the correct option is choice A
14-6 over 3--2
8/5
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Heres a trick i learned look at the digit your rounding look to your right is it 5 or higher? yeas add 1 more to the one you are rounding if not then you drop the numbers after the one you are rounding so 8.54 is now just 8.5