The 4th term is given by a + (n-1)d = 10 + (4-1)(-2) = 10 - 6 = 4.

For n = 4, a_4 = 4^2 + 2*4 = 16 + 8 = 24.

For n = 6, a_6 = 6^2 + 6 = 36 + 6 = 42.

Substituting n = 6 gives a_6 = 6^2 - 6 + 1 = 36 - 6 + 1 = 31.

The area of a circle is given by A = πr². Thus, A = π(7)² = 49π ≈ 154 cm².

The area can be calculated as length × width = 4 × 3 = 12 square units.

The area of a regular pentagon can be calculated using the formula (1/4)√(5(5 + 2√5)) * s². For s = 6, the area is approximately 15√5.

Area of a rhombus = (1/2) × d1 × d2 = (1/2) × 10 × 24 = 120 cm².

The area of a triangle is given by (1/2) * base * height. Here, base = 4 and height = 3, so area = (1/2) * 4 * 3 = 6.

The area of a triangle is given by the formula (1/2) * base * height. Thus, Area = (1/2) * 10 * 5 = 25 cm².

The author acknowledges that while digital sum has many benefits, it also faces significant challenges that need to be addressed for its continued success.

The author expresses a belief that social inequalities can be significantly reduced through concerted efforts.

The author critiques current measures as being insufficient, advocating for more comprehensive solutions.

The passage indicates that the author believes governments should actively intervene to address inequalities.

Since 8 is 2 raised to the power of 3 (2^3 = 8), the base of the logarithm is 2.

Since 81 is 3^4, the base of the logarithm is 3.

For any base b > 0, log_b(1) = 0, since b^0 = 1.

The octal numeral system is a base-8 system, using digits from 0 to 7.

The hexadecimal number 'A3' converts to binary as 10100011.

The common difference is found by subtracting any two consecutive terms: 15 - 10 = 5.

'2101' in base-3 = 2*3^3 + 1*3^2 + 0*3^1 + 1*3^0 = 54 + 9 + 0 + 1 = 64.

'57' in base-8 is 5*8 + 7 = 40 + 7 = 47 in decimal.

'1101' in binary is calculated as 1*2^3 + 1*2^2 + 0*2^1 + 1*2^0 = 8 + 4 + 0 + 1 = 13.

The binary number 1010 is equivalent to the decimal number 10.

SI = 1000 * 8/100 * 2 = $160. CI = 1000(1 + 0.08)^2 = $1166.4. Difference = $1166.4 - $160 = $24.

Using the distance formula, d = √[(x2 - x1)² + (y2 - y1)²] = √[(4 - 1)² + (5 - 1)²] = √[3² + 4²] = √[9 + 16] = √25 = 5.

A number is divisible by 3 if the sum of its digits is divisible by 3.

A number is divisible by 9 if the sum of its digits is divisible by 9.

Multiplying a function by a negative constant reflects the graph across the x-axis.

The GCF of 24 and 36 is 12, as it is the largest number that divides both without leaving a remainder.