multiplication and addition,
3x5
9514 1404 393
Answer:
Step-by-step explanation:
The sum of exterior angles is 360°, so the exterior angle can be easiest to find first.
exterior angle = 360°/72 = 5°
The interior angle is the supplement of this.
interior angle = 180° -5° = 175°
The measure of one interior angle is 175°; one exterior angle is 5°.
Answer: The answers are in the steps I numbered it as a question from 1 to 12 hopes it helps.Read it carefully.
Step-by-step explanation:
(1) Answer is RATIONAL NUMBERS.
(2) Answer is Fraction
(3) Answer is Terminating decimal
(4) Answer is Decimal
(5) Answer is Integer
(6) Answer is Repeating Decimal
(7) Answer is Perfect Square
(8) Answer is CLASSIFY
(9) Answer is Real Numbers
(10) Answer is Percent
(11) Answer Whole numbers
(12) Answer is Irrational numbers
The -th term in the series is 6 multiplied by the -th power of 5/6:
and so on.
Consider the -th partial sum,
Multiplying both sides by 5/6 gives
and substracting this from gives
As , it's clear that the sum converges to 36.
The geometric series in the question is convergent with a common ratio of 5/6. Using the formula for the sum of an infinite geometric series, the sum of the series is found to be 36.
In mathematics, specifically in series, determining whether a geometric series is convergent or divergent is centered around the common ratio value. In terms of this particular series: 6 + 5 + 25/6 + 125/36 + ..., the common ratio is 5/6. Given this common ratio, it's clear that it falls between -1 and 1. Hence, this geometric series is convergent.
Once we establish it is a convergent series, we can calculate its sum using the formula for the sum of an infinite geometric series: S = a / (1 - r), where 'a' is the first term and 'r' is the common ratio. Inserting the respective values a = 6 and r = 5/6, we get: S = 6 / (1 - 5/6) = 36. Hence, the sum of this infinite geometric series is 36.
#SPJ11
Answer:
-1/4 , -1
Step-by-step explanation:
I solved it using Factorization method and Quadratic Equation .
Factorization Method
Quadratic Equation
Answer:
17
Step-by-step explanation:
We can put this as an AP (arithmetic progression).
The first number, after 160, that is divisible by 7 is:
161
The last number before 279 that is divisible by 7 is:
273
We can use the formula:
Where
tn is the nth term [here we take the last one, 273
a is the first term [161]
d is the common difference [7]
and n is the number of terms, we are trying to find this.
Substituting we get:
Hence, there are 17 integers