Answer:
The first four terms of the sequence is : A) 7, 17, 37, 77.
Step-by-step explanation:
The given function f(n) = 2 x f(n − 1) + 3
Also, f(1)= 7
<u>FOR n= 2</u>
f(2) = 2 x f(2-1) + 3 = 2 x f(1) + 3
= (2 x 7) + 3 = 14 + 3 = 17
⇒f(2) = 17
<u>FOR n= 3</u>
f(3) = 2 x f(3-1) + 3 = 2 x f(2) + 3
= (2 x 17) + 3 = 34 + 3 = 37
⇒f(3) = 37
<u>FOR n= 4</u>
f(4) = 2 x f(4-1) + 3 = 2 x f(3) + 3
= (2 x 37) + 3 = 74 + 3 = 77
⇒f(4) =77
So, the first four terms of the sequence are 7, 17, 37, 77.
A) is the correct option.
Answer: All M equal 12
Step-by-step explanation:
For all three of the shapes, their area is 24. However, the M section is half of the entire shape, so M=12.
Answer:
Step-by-step explanation:
Given the legs of right angled triangle 4 and 5 units. we have to find the length of hypotenuse.
By Pythagoras theorem,
In right angled triangle the square of the length of the hypotenuse is equal to sum of squares of the lengths of other two sides
Hence,
Answer:
B and D
Step-by-step explanation:
Have a great day!
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<h3>
Answer: -512</h3>
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Explanation:
Let's focus on the portion for now.
The exponent 3 means we'll have 3 copies of the base multiplied out like so
Two of the negatives pair up and cancel out. We're left with a negative sign in the result. Also 2*2*2 = 8, which explains the denominator.
In short,
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We're then going to raise that result to the power of -3
So,
The second step in that section above is possible because of this exponent rule:
The negative exponent means "flip the base to make the exponent positive". Think of -8 as -8/1.