Consider a sequence of numbers a1, a2, a3, ….an where \({a_n} = \frac{1}{n} - \frac{1}{{n + 2}},\) for each integer (n > 0). What is the sum of the first 50 terms?

\(1 - \left( {\frac{1}{{51}} + \frac{1}{{52}}} \right)\)

\(\left( {1 + \frac{1}{2}} \right) - \frac{1}{{50}}\)

\(\left( {1 + \frac{1}{2}} \right) + \frac{1}{{50}}\)

\(\left( {1 + \frac{1}{2}} \right) - \left( {\frac{1}{{51}} + \frac{1}{{52}}} \right)\)

Consider a sequence of numbers a1, a2, a3, ….an where \({a_n} = \fra

1.	Consider a sequence of numbers a1, a2, a3, ….an where \({a_n} = \frac{1}{n} - \frac{1}{{n + 2}},\) for each integer (n > 0). What is the sum of the first 50 terms?
A.	\(\left( {1 + \frac{1}{2}} \right) - \frac{1}{{50}}\)
B.	\(\left( {1 + \frac{1}{2}} \right) + \frac{1}{{50}}\)
C.	\(\left( {1 + \frac{1}{2}} \right) - \left( {\frac{1}{{51}} + \frac{1}{{52}}} \right)\)
D.	\(1 - \left( {\frac{1}{{51}} + \frac{1}{{52}}} \right)\)
Answer» D. \(1 - \left( {\frac{1}{{51}} + \frac{1}{{52}}} \right)\)

Discussion

No Comment Found

Related MCQs

If x2 + x − 1 = 0 what is the value of \({x^4} + \frac{1}{{{x^4}}}?\)
In a 2 × 4 rectangle grid shown below, each cell is a rectangle. How many rectangles can be observed in the grid?
Mola is a digital platform for taxis in a city. It offers three types of rides – Pool, Mini, and Prime. The table below presents the number of rides for the past four months. The platform earns one US dollar per ride. What is the percentage share of revenue contributed by Prime to the total revenues of Mola, for the entire duration?TypeMonthJanuaryFebruaryMarchAprilPool170320215190Mini11022018070Prime75180 12090
ItemsCost Rs.Profit %Marked Price Rs.P5,400---5,860Q---2510,000Details of prices of two items P and Q are presented in the above table. The ratio of cost of item P to cost of item Q is 3 ∶ 4. Discount is calculated as the difference between the marked price and the selling price. The profit percentage is calculated as the ratio of the difference between selling price and cost, to the cost(profit % = \(\frac{{Selling \ price - Cost}}{{Cost}}\)× 100).The discount on item Q, as a percentage of its marked price, is ______
Consider a sequence of numbers a1, a2, a3, ….an where \({a_n} = \frac{1}{n} - \frac{1}{{n + 2}},\) for each integer (n > 0). What is the sum of the first 50 terms?
If \({q^{ - a}} = \frac{1}{r}\) and \({r^{ - b}} = \frac{1}{s}\) and \({s^{ - c}} = \frac{1}{q}\), the value of abc is __
Four people are standing in a line facing you. They are Rahul, Mathew, Seema, and Lohit. One is an engineer, one is a doctor, one a teacher, and another a dancer. You are told that:Mathew is not standing next to SeemaThere are two people standing between Lohit and the engineerRahul is not a doctorThe teacher and the dancer are standing next to each otherSeema is turning to her right to speak to the doctor standing next to her Who among them is an engineer?
If ⊕ ÷ ⊙ = 2; ⊕ ÷ Δ = 3; ⊙ + Δ = 5; Δ × ⊗ = 10, Then the value of (⊗ - ⊕)2, is
For what value of k given below is \(\frac{{{{\left( {k + 2} \right)}^2}}}{{k - 3}}\) an integer?
1200 men and 500 women can build a bridge in 2 weeks. 900 men and 250 women will take 3 weeks to build the same bridge. How many men will be needed to build the bridge in one week?

Consider a sequence of numbers a1, a2, a3, ….an where \({a_n} = \frac{1}{n} - \frac{1}{{n + 2}},\) for each integer (n > 0). What is the sum of the first 50 terms?

Discussion

No Comment Found

Related MCQs

Reply to Comment