5. For each series, calculate t12 and S12. K a) 37 + 41 + 45 + 49 + .. b) - 13 – 24 – 35 – 46 - c) - 18 ... 12 – 6 + 0 + ... - 1 6. 7 + 10 17 + d) - ... 5 10 e) 3.19 + 4.31 + 5.43 + 6.55 + ... f) р+ (2р + 2q) + (3р + 4q) + (4p + 69) + ..

Q: If n(A ∪ B) = 50, n(A ∩ B) = 10, and n(B) = 20,find n(A).

A: Given,n(A∪B)=50,n(A∩B)=10 and n(B)=20 To find: n(A) Solution: We know,…

Q: b) –5x + 3 > 8 6 –5 –4 –3 –2 –1 0 i 2 3 -3 - 2 4 5 6 |

A: Given, -5x+3≥8 Aim: Graph inequality

Q: 5) -1, 6, -36, 216, .. A) a =-(-6)"-1 В) а, 37:(-6)"-1 С) а, 37:(4)"-1 D) a = 6 · (-6)" - 1 a = a n-…

A: Given query is to find the formula for the sequence.

Q: Given A= 7 2 80 and B= - 2 3 find: a) A+B, b) A-B, c) 2A+5B

A: We need to find out the values as given.

Q: 8. What is S10 for 1 +2+4+ 8+ ... ? а. 256.5 b. 511 с. 1023 d. 2047

A: Given series is 1 + 2 + 4 + 8 + ...

Q: 3. Evaluate. Expres a) 12° ) 6-2 e) 500-1 g) (-2)-8 -2 i) k) - Use a pattern to sl

A: 3.) a) 120=1 this whole number b) 8-1=18 this is a fraction c)  6-2=162     =136

Q: 4.) -8n + 4(1 + 5n) %3 -бп — 14

A:

Q: If  n(A) = 105, n(A ∪ B) = 144, and n(A ∩ B) = 46, find n(B).

A: We know from set theory nA∪B=nA+nB-nA∩B

Q: 15%0 18.) A two-digit natural number with the same digits is equal to the sum of the positive…

A: The correct option is not available in the question.Since we want a two digit number with same…

Q: c. 6.071 x 10-5-8.2x 10-6-0.521 x 10-4 d. (3.8 x 10-12 + 4.0 × 10-13)/(4 x 10¹2 + 6.3 × 10¹3)

A:

Q: Suppose U = {1, 2,..., 9}, A = all multiples of 2, B = all multiples of 3, and C = {3, 4, 5, 6, 7}.…

A:

Q: If n(A ∪ B) = 97 and n(A) = n(B) = 66 find n(A ∩ B).

A: Given, n(A ∪ B) = 97 and n(A) = n(B) = 66

Q: If (n, 15) = 1 and o(n) = 56, find o (75n).

A: Given: n, 15=1 and σn=56.To find: σ75n

Q: Let 10 0 B: 0 0 1 01 0 then find B2, B, B, B³ and B to figure out the pattern for B". Then find:…

A:

Q: If n(A) = 108, n(A ∪ B) = 146, and n(A ∩ B) = 41 find n(B).

A: Please refer the attached image for complete solution.

Q: If 2 (5) = 72, then the value of n is:

A:

Q: 3x2 -12 at 9x

A:

Q: There are 30 sutdents in a class. Of the class 2/6 of the students bring have 1pet 1/6 of the…

A:

Q: Find the value of n(An B) if n(A) = 10, n(B) = 13, and n(A U B) = 18. n(An B) = (Type a whole…

A:

Q: If  n(A) = 109, n(A ∪ B) = 160, and n(A ∩ B) = 42, find n(B).

A:

Q: If n(A ∪ B) = 99 and n(A) = n(B) = 69, find n(A ∩ B).

A: Given, n(A ∪ B) = 99 and n(A) = n(B) = 69   The objective is to find  n(A ∩ B).

Q: m*n-s for m = -3 and n = 2

A: Our objective is to find the solution

Q: a. Use the formula S, = (a, + a,) to show that the sum of the first n positive integers is S, = (1 +…

A: The given formula is,

Q: 3. Consider the numbers A and B below. A = 235 × 512 × 7²1 B = 223 x 37 x 732 (a) Consider the…

A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly repost other…

Q: 2) (-17) + (-22) + (-27) + (-32)..., A) -224 B) -448 C) -217 D) -218

A:

Q: 4 = 70, find n.

A:

Q: 3.20) what is the remainder when 1s+85+...t100s is divided by4?

A: Given 15+25+....+1005 is divided by 4