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" 20."1+(1)/(2)+(1)/(4)+(1)/(7)+(1)/(14)...

" 20."1+(1)/(2)+(1)/(4)+(1)/(7)+(1)/(14)+(1)/(28)=?

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1+(1)/(2) +(1)/(4) +(1)/(7) +(1)/(14) +(1)/(28) is equal to :

2(1)/(7)-3(1)/(14)+2(2)/(7)=?

1+(1)/(2)+(1)/(4)+(1)/(7)+(1)/(14)+(1)/(28) is equal to:

1+(1)/(2)+(1)/(4)+(1)/(7)+(1)/(14)+(1)/(28) is equal to (a) 2( b) 2.5(c)3(d)3.5

Using appropriate properties find : (2)/(5) xx ((-3)/(7)) - (1)/(6) xx (3)/(2) + (1)/(14) xx (2)/(5) = (2)/(5) xx ((-3)/(7)) + (1)/(14) xx (2)/(5) - (1)/(cancel6) xx (cancel 3)/(2) = (2)/(5) xx ((-3)/(7) + (1)/(14) ) - (1)/(4) = (2)/(5) xx ((-6+1)/(14))- (1)/(4) = (cancel 2)/(cancel 5) xx (-cancel 5)/(cancel14) - (1)/(4) = (-1)/(7) - (1)/(4) (- 4 - 7)/(28) = (-11)/(28)

Find the value of (1)/(1+(1)/(3-(1)/(2+(4)/(2+(1)/(2+(1)/(2-(1)/(7)))))))+(3)/(3-(4)/(3+(1)/(2-(1)/(2))))*(13)/(7) (b) (15)/(7) (c) (11)/(21) (d) (1)/(28)

4(3)/(7)-1(3)/(14)=?+2(3)/(28)1(3)/(28)(b)3(1)/(14) (c) 3(3)/(14) (d) 3(1)/(28) (e) None of these

Prove that by using the principle of mathematical induction for all n in N : (1)/(1.4)+ (1)/(4.7)+(1)/(7.10)+...+ (1)/((3n-2)(3n+1))= (n)/(3n+1)

Prove that by using the principle of mathematical induction for all n in N : (1)/(1.4)+ (1)/(4.7)+(1)/(7.10)+...+ (1)/((3n-2)(3n+1))= (n)/(3n+1)

Prove that by using the principle of mathematical induction for all n in N : (1)/(1.4)+ (1)/(4.7)+(1)/(7.10)+...+ (1)/((3n-2)(3n+1))= (n)/(3n+1)