Complete the conjecture based on the pattern you observe in the examples below. 5. Conjecture: The sum of any two odd numbers is 1+1=2 1+5=6 7+9=16 9+11 20 13 +21 34 101 + 103 204 6. Conjecture: The product of any two odd numbers is 1x1 = 1 1x3 = 3 3x7 = 21 9x1199 13x11 143 101x103 10,403 7. Conjecture: The product of a number (x - 1) and the number (x + 1) is always equal to 3x5=4²-1 7x98-1 4x6 = 5²-1 6x8 = 7² - 1

Q: SECTION A Answer ALL the questions in this section. 1 12 – 4 + -2 +6 = A. 2 В. 38 С. 20 D. 16 13-7 x…

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Q: 10. Solve the factorial. Use a calculator if necessary. O 6 30 24 15 120

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Q: Two numbers whose product is 1 are called opposites. صواب خطأ

A: Opposite of a number is just negative of that.If x is number then -x is its opposite number not 1x.…

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Q: 5. Re-write the following in factorial notation then simplify and evaluate: 5. 8P2 x 6P3 56x120…

A: Given that  8P2×6P3

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A: We add 528 + 944

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Q: Provide all the answers fully

A: Step 1:Step 2:

Q: 1) wIN 1/14 DAdd in the missing fractions to complete these number lines. 1 1 2 3 3 2 b) 1 1 1 2 3 2…

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Q: Determine the root of this term 64

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Q: True or False. Briefly explain why.  The least nonnegative residue of −123 modulo 12 is 3.

A: We recall the definition.

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

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Q: 1. Show that 2465 is a Carmichael number.

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Q: 6. Algebraically find the sum 63 – 70 + 78 – 85 + 93 – 100 + + 2268 ...

A: Given: A finite series 63-70+78-85+93-100+...+2268 It can be observed that the series is of the form…

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Q: Discrete Math: Q1: a) Find 8 + 32 + 126 + … + 8192.       b) Find 5 + 15 + 45 + · · · + 5·3^20…

A: Now we know that sum of n terms of GP is given by Sn=a*(r^n−1)/(r−1) when r>1

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Q: 7. What is the LCM of 16, 24, and 40? O15360 8 O 960 O240

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