Answer:
Step-by-step explanation:
Let “a” be the first term and ”r” the common ratio of the GP. Then,
f(n) = ar^(n - 1).
f(2) + f(3) = 6f(4). (given)
ar + ar^2 = 6ar^3, or
1 + r = 6r^2, or
6r^2 - r - 1 = 0,
(3r + 1)(2r - 1) = 0.
r = -1/3, or 1/2.
If the common ratio is positive and the second term is 8 we have,
ar = 8, or
a*1/2 = 8, or a = 16.
f(n) = 16*(1/2)^(n - 1) = 2^4*2^(1 - n), or
f(n) = 2^(5 - n).
The first six terms of the GP are : 16, 8, 4, 2, 1, 1/2,…
××××××××××
Checking : f(2) + f(3) = 6f(4), (given).
LHS = 8 + 4 = 12.
RHS = 6* 2 = 12.
LHS = RHS.
9514 1404 393
Answer:
305,645 base 10
1124755 base 8
Step-by-step explanation:
In expanded form, the number is ...
4×16^4 +10×16^3 +9×16^2 +14×16^1 +13
= (((4×16 +10)×16 +9)×16 +14)×16 +13 = ((74×16 +9)×16 +14)×16 +13
= (1193×16 +14)×16 +13 = 19102×16 +13 = 305,645 base 10
_____
If you want to convert this to base 8, that is easily done by writing the binary equivalents of the hex digits, then regrouping them by 3s.
4A9ED₁₆ = 0100 1010 1001 1110 1101₂ = 01 001 010 100 111 101 101₂
= 1124755₈
Answer:
divide 2 into each digit of the larger number
Step-by-step explanation:
Answer: 100, LORD OF MERCY, HOW DO YOU NOT KNOW THIS :sob: anyways if you need more help dm me on discord nishimiya#0001
Answer:
3,240
Step-by-step explanation:
Multiply 72 x 45