Question: Tommy wanted to buy a gold ring which costs $121 by saving money. His first day savings are $6 . Each succeeding day he saves $1 more than the previous day. With this pattern of savings, in how many days can he buy the ring? A ) 11 B ) 115 C ) 22 D ) 116 Steps to derive 1 The money Tommy saves increases by $1 each day. So, daily savings form an arithmetic sequence: 6, 7, 8, 9, ..... [Analyse and understand the problem.]2 Let $121 will be the sum to n terms of an arithmetic series.3 S n = n [ 2 a 1 + ( n - 1 ) d ] 2 [Write the formula for the sum of an arithmetic series.]4 121 = n [ 2 ( 6 ) + ( n - 1 ) 1 ] 2 [Replace S n = 121, a 1 = 6, d = 1.]5 242 = n [12 + n -1] [Cross multiply.]6 242 = n 2 + 11n [Simplify.]
7 n 2 + 11n - 242 = 08 n = 11, - 22 [Solve for n .]9 So, Tommy can buy the ring in 11 days. [The number of days cannot be negative and so, n = - 22 is not possible.]Hence the right answer is Option A Click Here To Go Back Few Other Questions - What is the distance from the vertex to the focus of the parabola y = 0.5x2?.. What is the standard form of a parabola with vertex (2, 4) and focus (2, 8)?.. Find the equation of the parabola in the standard form opens to the left with (- 1, - 5) a.. Find the distance from the focus to the directrix of a parabola x2 = 16y... What is the minimum length of focal chord of a parabola x2 = 28y?.. Find the derivative of y = 40e- 5x cos 6x... Find dydx if y = 40e5x log sin 4x... Find dydx if y = e2x2ln 2x... Find dydx, if y = 14x2(e8x - e- 8x)... Find dydx if y = e18x9+e18x.. Find y′, if y = e4x3+e4x5... Find f ′(x) if f(x) = e4x8.sin 9x.. Find f ′(x), if f(x) = e8sec x + 2tan x... Find the derivative of f(x) = 46sin2(e4x)... 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