Answer:
+
=
Step-by-step explanation:
A king wanted to reward his adviser,a wise man of the kingdom.so he asked the wiseman to name his own reward.the wiseman thanked
1 answer:
Answer:
900 coins
Step-by-step explanation:
The Wiseman demands 1 gold coin for the 1st day, then 3 gold coins for the 2nd day, then 5 gold coins for the 3rd day and it continues for 30 days in this pattern.
Therefore, the total number of gold coins that he gets will be,
1+ 3+ 5+ ..... up to 30 terms.
This is an A.P. series with the first term(a) 1 and a common difference(d) 2 and the number of terms(n) 30.
Hence, the sum of the A.P. series is given by
=
= 900 coins (Answer)
You might be interested in
Answer:
3.) 0.894
Step-by-step explanation:
✔️First, find BD using Pythagorean Theorem:
BD² = BC² - DC²
BC = 17.89
DC = 16
Plug in the values
BD² = 17.89² - 16²
BD² = 64.0521
BD = √64.0521
BD = 8.0 (nearest tenth)
✔️Next, find AD using the right triangle altitude theorem:
BD = √(AD*DC)
Plug in the values into the equation
8 = √(AD*16)
Square both sides
8² = AD*16
64 = AD*16
Divide both sides by 16
4 = AD
AD = 4
✔️Find AB using Pythagorean Theorem:
AB = √(BD² + AD²)
AB = √(8² + 4²)
AB = √(64 + 16)
AB = √(80)
AB = 8.9 (nearest tenth)
✔️Find sin x using trigonometric ratio formula:
Reference angle = x
Opposite side = BD = 8
Hypotenuse = AB = 8.944
Thus:
(nearest thousandth)
1)
n 1 2 3 4 5 6
f(n) 1033 932 831 730 629 528
First term (a₁): <u>1033 </u> Common difference (d): <u>-101 </u>
Explicit rule: Recursive rule:
***********************************************************************************
2)
n 1 2 3 4 5 6
f(n) -39 -29 -19 -9 9 19
First term (a₁): <u> -39 </u> Common difference (d): <u> +10 </u>
Explicit rule: Recursive rule:
***********************************************************************************
3)
n 1 2 3 4 5 6
f(n) 3.75 2.5 1.25 0 -1.25 -2.5
First term (a₁): <u> 3.75 </u> Common difference (d): <u> -1.25 </u>
Explicit rule: Recursive rule: