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:
X = -2
y = 2
Step-by-step explanation:
Substitute y=x + 4 in the second equation to find x
x+4 = 2x + 6
subtract x from both sides
4 = x + 6
subtract 6 from both sides
-2 = x
put -2 in for x in the first equation
y= 2
Answer:
omg im dum i said all the numbers up to 64 i could have just multiplied its 64 xD
Step-by-step explanation:
Answer: 15(5z^2+4z+8)
Step-by-step explanation:
You take out the common values
Answer:
If your bottle already has 550 ml in it you need to add 1,700 ml for a total of 2250 ml. If your bottle can only hold 550 ml you will need to drink about 4 bottles in order to drink 2250 ml of water.
Step-by-step explanation:
2250/550=4.09
