Manoj and shira asked to find an explicit formula for the sequence -9, -27, -81, -

manoj said the formula is h(n) = -9*3^n, and

shira the formula is h(n) =-3*3^n. which one of them is right?

a. only manoj

b. only shira

c. both manoj and shira

d. neither manoj nor shira

The answer is (B) ⇒ Only shira

Step-by-step explanation:

∵ the sequence is ⇒ -9 , -27 , -81 , -243 , .......

∵ -27 ÷ -9 = 3

∵ -81 ÷ -27 = 3

∴ The constant ratio is 3

∵ the first term is -9

∴ h(n) = -9(3)^n-1

∵ -9 = -3 × 3

∴ h(n) = -3 (3 × 3^n-1) ⇒ same base add the power

∴

∴ Shira is right

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

source:

you can't solve x because it is 2 linear equation and you only have one equation