Figure shows playing cards stacked together in a
following manner
56 cards are stacked in this manner. 14 cards are in the bottom row,12
in the next row ,10 in the row next to it and so on. Based on the
observation answer the questions below-
The total number of rows in which
the cards are stacked
a)7
b)6
c)8
The number of cards in the top row is-
a)4 b)6 c)1
methandic
30
The mathematical concept applied in solving the above problem is-
a)Linear equations
b) Probability
c) Arithmetic progression d) Coordinate geometry
Answers
Answered by
22
Answer:
ap = 14,12,10,08
(a).
Sn = n/2(2a + (n-1)d)
56 = n/2(2×14 +(n-1)(-2))
56= n(14-n+1)
56=-n²+15n
n²-15n+56= 0
n²-7n-8n+56=0
n(n-7)-8(n-7)=0
n=8 or n= 7
Sn = n/2(a+an)
56= 7/2(14+an)
56= 7/2(14+an)
56/7 × 2= (14+an)
16 = (14+an)
an = 2
The total number of rows in which
the cards are stacked is 7
and, The number of cards in the top row is- 2
Answered by
1
Answer:
this is the answer
Step-by-step explanation:
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