Explanation

A sequence is arithmetic if the common difference of all terms of a sequence is the same.

A sequence is geometric if the common ratio of all terms of sequence is the same.

A common difference is the difference between consecutive numbers in an arithmetic sequence

Sh14-8-2023

Explanation

The Fibonacci sequence is the series of numbers: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34.

In this series, the next number is found by adding the two numbers before it.

Hence, the next term in the series is 8 + 13 = 21.

Explanation

Let third number = x

First number = 120/100 x = 6x/5

Second number = 150/ 100x = 3x/2

Ratio of two numbers = 6x/5 : 3x/2 = 12x : 15x = 4:5

Explanation

The sum of five numbers is 555.

The average of the first two numbers is 75, so their sum is 2 x 75 = 150.

The third number is 115.

So, the sum of the first three numbers is 150 + 115 = 265.

Since the sum of all five numbers is 555, the sum of the last two numbers is 555 - 265 = 290.

Therefore, the average of the last two numbers is 290 / 2 = 145.

The correct answer is: 145

Explanation

Average of a , b = ( a + b ) /2

16a + 16b = 48

a + b = 3  || divide each term by 16

The average is ( a + b ) / 2 = 3/2

= 1.5

Explanation

Paid= 3/5

Remaining = 1 – 3/5 = 2/5

Given conditions:

2/5 x Total amount = 400

⇒       Total amount = 1000

Explanation

Dear Money is expensive to borrow because the rate of interest is high.

This is because people prefer to save when interest rates are high and spend or borrow when rates are low.

Put differently, the cost of money becomes more expensive.

Explanation

• Let the two numbers be x and y.
• Given: x + y = 2490 ... (Equation 1)
• Also, 6.5% of x = 8.5% of y
• To simplify, convert percentages to decimals: 0.065x = 0.085y
• Now, divide both sides by 0.065: x = (0.085/0.065)y
• x = (85/65)y
• x = (17/13)y ... (Equation 2)
• Now, substitute Equation 2 into Equation 1:
• (17/13)y + y = 2490
• Combine like terms: (30/13)y = 2490
• Multiply both sides by 13/30: y = 1079
• Now that we have found y, we can find x:
• x = 2490 - y (from Equation 1)
• x = 2490 - 1079
• x = 1411
• So, the correct answer is: 1411, 1079

Explanation

To find the 3rd term of the sequence 

𝑎𝑛 =n+3, substitute .n=3 into the formula:

𝑎3 = 3 + 3 = 6

Thus, the 3rd term of the sequence is 6.

Explanation

A pie chart is a way of summarizing a set of nominal data or displaying the different values of a given variable.