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Zielflug [23.3K]
3 years ago
7

Sample space of S{A, B, C, F, G, M, T, Z}, subset A{A, G, M}, subset B{A, B, F, G, T, Z). Determine AUB.

Mathematics
1 answer:
faltersainse [42]3 years ago
5 0

AUB means combination of elements in A and B without writing one element twice

AUB={A,B,F,G,M,T,Z}

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The sum of the first term of an ap is 240 and the sum of the next 4 term is 220 find the first term of the ap
Sindrei [870]

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The common difference is -5/4

T(n) = T(0)  - 5n/4,

where T(0) can be any number. d = -5/4

Assuming T(0) = 0, then first term

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Step-by-step explanation:

T(n) = T(0) + n*d

Let

S1 = T(x) + T(x+1) + T(x+2) + T(x+3) = 4*T(0) + (x + x+1 + x+2 + x+3)d = 240

S2 = T(x+4) + T(x+5) + T(x+6) + T(x+7) = 4*T(0) + (x+5 + x+6 + x+7 + x+8)d = 220

S2 - S1

= 4*T(0) + (x+5 + x+6 + x+7 + x+8)d - (4*T(0) + (x+1 + x+2 + x+3 + x+4)d)

= (5+6+7+8 - 1 -2-3-4)d

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Since S2=220,  S1 = 240

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Since T(0) has not been defined, it could be any number.

7 0
3 years ago
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