in a rangoli design of 13 rows every row increases its previous row by two dots and first row contains 5 dots then how many total dots are in the design
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Answer:
there are total 13×2 that is 26 so there are 26dots
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Given,
number of rows = 13
number of dots in the 1st row = 5
number of dots increasing per row = 2
To find,
Number of total dots in the design
Solution,
n = 13
a1 = 5
a1, a2, a3 .. = 5, 7, 9
d = 2
Sum = n/2 [2a + (n-1)d]
= 13/2 [2(5) + (13 - 1)(2)]
= 13/2 [10 + 24]
= 13/2 x 34
= 17 x 13
= 221
Thus, there were a total of 221 dots.
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