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Explicit and Recursive Functions: Mastery Test
3
Select the correct answer from each drop-down menu.
Consider the first four terms of an arithmetic sequence below.
7, 13, 19, 25
Determine the recursive and explicit formulas that describe this sequence.
The recursive function that describes this sequence is R1) = 7, Rn) = fn-1) ,n22.
The explicit function that describes this situation is An) = 7 vn and R10) =
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ad = ae + ed = y + 7

similar triangles therefor

ac/ab = ad/ae

6/4 = (y + 7) / y

cross multiply

6y = 4(y + 7)

6y = 4y + 28

2y = 28

y = 14

step-by-step explanation:

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl

the equation is not included but the answer is (1.50, 2.00, 2.75)

step-by-step explanation: