<span>In an arithmetic sequence, if a4 = 18 and a10 = 30, determine a1, d, and an.
Then write the first four terms of the sequence.
Use the formula L = A + (N-1)D, where L represents the nth term.
Then, based upon the given info,
18 = A + (4-1)D and 30 = A + (10-1)D.
The first equation boils down to 18 = A + 3D, so that A = 18 - 3D. Subst. 18-3D for A in the second equation: 30 = 18-3D + 9D. Then 12=6D and D = 2.
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Use </span>A = 18 - 3D to determine the value of A. Recall that D=2.
Then A = 18 - 3(2), or A = 18-6, or A = 12.
Then L = A + (N-1)D becomes L = 12 + (N-1)(2).
First term is 12. Next is 14; next is 16; last is 18.
Here’s one equation. y=2x+9
8(4x+5)−5(6x)−x =53−6(x+1)+3(2x+2)
x+40=53
x+40-40=53-40 subtracting 40 from both sides
x = 13
Answer:
Step-by-step explanation:
Since the two quadrilaterals are similar, they both have the same scale factor. Divide 12 by 7.5 to get 1.6, the scale factor. Then divide 26 by 1.6 to get 16.25, the value of x. Finally, add the values up to get the perimeter of the smaller quadrilateral, which is 45.75 units.