Use the recursive formula to find the first five terms in the arithmetic sequence
f(1) = 3
f(n) = f(n − 1) – 2

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OPTION A

Step-by-step explanation:

The first term in the Arithmetic progression is f(1) = 3.

The general term is given to be: f(n) = f(n - 1) - 2

Therefore, to find second term, simply substitute n = 2 and so on.

So, Second term = f(2) = f(2 - 1) - 2

⇒ f(2) = f(1) - 2

= 3 - 2

= -1

Third term: n = 3

⇒ f(3) = f(3 - 1) - 2

         = f(2) - 2

         = -1 - 2

         = - 3

Similarly, fourth term, f(4) = f(3) - 2

  = - 3 - 2

  = -5

And fifth term f(5) = f(4) - 2

= - 5 - 2

= - 7

Hence, OPTION A is the answer.

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°

see attached

step-by-step explanation:

given the function as;

write the equation replacing f(x) with y

form   and fill a table containing values of y with corresponding values of x

you can take a range for   values of x as -3≤x≤3

solving for x=-3

for x=-2

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values   of x and obtain the following graph