Answer:
The Recursive Formula for the sequence is:
; a₁ = 125
Hence, option D is correct.
Step-by-step explanation:
We know that a geometric sequence has a constant ratio 'r'.
The formula for the nth term of the geometric sequence is
where
aₙ is the nth term of the sequence
a₁ is the first term of the sequence
r is the common ratio
We are given the explicit formula for the geometric sequence such as:
comparing with the nth term of the sequence, we get
a₁ = 125
r = 1/5
Recursive Formula:
We already know that
We know that each successive term in the geometric sequence is 'r' times the previous term where 'r' is the common ratio.
i.e.
Thus, substituting r = 1/5
and a₁ = 125.
Therefore, the Recursive Formula for the sequence is:
; a₁ = 125
Hence, option D is correct.
Answer:
7
Step-by-step explanation:
Total number of surfaces of cube are 6.
Each surface is square.
And area of square is (side)^2
That means, total surface area will be 6 * (side)^2
From question,
294 = 6 * (side)^2 ( Surface area given)
=> 294 ÷ 6 = ( side) ^2
=> 49 = side^2
=> √49 = side
=> 7 = side
So, length of edge of cube is 7
Answer:
y+6.75
Step-by-step explanation:
Answer: y+6.75
Follow Order of Operations
y+9*3/4
9*3/4 = 6.75
y+6.75
Answer
4
~~~~~~~~~~~~~~~~~~~~~~~
Yeah it's 4 again double check!
a) This part is already complete I think..
b) This is a cuboid and lateral surface area of cuboid is: 2(lb +bh + hl)
= 2( 10 × 3 + 3 × 7 + 7 × 10)
= 2(30 + 21 + 70)
= 2 × 121 = 242 cm²
Now, the area of top & bottom: lb
= 2 × 10 × 3
= 60 cm²
Neglecting the top & bottom surface area of cuboid:
= 242 - 60
= 180 cm²
c) The total surface area us 242.. I have already done that part above...
__________________________
If i have done something wrong.. please lemme know :)
