Use sigma notation to write the sum. 1 1 1 9(1) 9(2) 9(3) 14 i=1 + + X ++ 1 9(14)

Q: Use sigma notation to write the sum. 12 22 + 2 6 W 3² 4² 24 120 7² 40,320

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Q: se the summation notation to rewrite the following expression (13 − 9) − (23 − 9) + (33 − 9) − (43…

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Q: What is the coefficient of 3 in the expansion of (1 + x) 10₂ 300 78 120. 130 40 30 169

A: Expression : 1+x10

Q: EXAMPLE 3 Applying Special Case Products a. Multiply. (2 - 9)(2 + 9) h. Square the binomial. 3x - 7

A: a. The given expression is, 2t2-92t2+9 Using the algebraic identity, a-ba+b=a2-b2 Here,  a=2t2b=9…

Q: Sp-3 2x If there are 23 terms in the expansion of ху then the value of p is

A: We will find out the required value of p.

Q: 3 6 9 3 3 ·+en+en.- 3 (v) e ¾ · ³ + e ¯ñ •· ³ + e - 7 · ²³ + ··· + n n 3n 3 ・++en. - n

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Q: Use sigma notation to write the sum. 5 5 + + 4 + 2 * 4 + 1 4 + 3 4 + 13 Σ i = 1

A: Given sum is 54+1+54+2+54+3+........+54+13 We have to write the given sum in the sigma notation.…

Q: Write the sum without using sigma notation. n Σ(-1)² + 2x³² j = 1

A: Summation means  Putting j=1,2,3.......n

Q: IM- Prove that n(n+ 1)(2n + 1)

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Q: What is a binomial factor of x 2 + 10x + 25? O (x- 5) O (x+5) O (x 4) O(x +4)

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Q: write the sum using sigma:   13+7+3+(-1)+(-5)

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Q: Find the term containing x18 in the binomial expansion of (x³ – y)15,

A: Find the term containing x18 in the binomial expansion of x3-y15. Formula: Binomial expansion of…

Q: Show clearly all working with detailed explanations

A: Answer and explanation is given below..

Q: Find the sum or difference. x+2 - 2x+ 8 2x + 10 x+x- 20 O x-2 2(x+ 5) X* 4 O x+ 6 2(x+ 5)X* 4 O x+ 2…

A: The given expression is: x+22x+10--2x+8x2+x-20=x+22(x+5)--2x+8(x+5)(x-4)

Q: Use sigma notation to write the sum.

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Q: Use sigma notation to write the sum. 1 5(4) Σ i = 1 + 2 5(5) + 3 5(6) + + 10 5(13)

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Q: 4. Let a be an odd integer. Show that (i) 8| a² – 9; (ii) 16 | aª – 81.

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Q: Use sigma notation to write the sum. X Σ* [[ IM [²(²¹) + ¹] + [²( ² ) + ³] + - + [² (¹) + ¹] [2 [2…

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Q: Use sigma notation to write the sum. 1 1 9 (1) 9(3) 14 i = 1 + 1 9(2) + X ++ 1 9(14)

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Q: Let Sn = n Σ k-1 √k Estimate how many terms are required before sn ≥ 100.

A: We shall be using basic inequalities to solve this problem.

Q: Write the sum in sigma notation. YOU DO NOT HAVE TO EVALUATE. 2(4) – 3(5) + 4(6) – ... + 86(88) –…

A: given,       24-35+46-...........+8688-8789

Q: 6 6 + 2+1 2+2 + 6 2 + 3 +.. + 6 2+1

A: The given sum

Q: 7 The coefficient of x³ in the expansion of | x+ 210 21 42 105

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