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You are at a birthday party and the cake is brought in the birthday candles on the cake are in a growing pattern: red, yellow; red, yellow, blue; red, yellow, blue, green; the pattern continues adding pink orange purple and white candles how many total candles are on the cake if the last candle is white?

Respuesta :

ridxee

Answer:

35

Step-by-step explanation:

Hi,

A simple way to look at this is making the pattern:

Red, Yellow

Red, Yellow, Blue

Red, Yellow, Blue, Green

Red, Yellow, Blue, Green, Pink

Red, Yellow, Blue, Green, Pink, Orange

Red, Yellow, Blue, Green, Pink, Orange, Purple

Red, Yellow, Blue, Green, Pink, Orange, Purple, White

2 + 3 + 4 + 5 + 6 + 7 + 8 = 35

You can otherwise use the Carl Gauss's formula for calculating the sum of increasing consecutive number:

[tex]Sum = \frac{n}{2} \ (a + b)[/tex]

where: n is the total number of rows;

a is the starting number of values and b is the ending number.

Hence, in this case:

n = 7

a = 2

b = 8

[tex]Total\ number\ of\ candles\ = \frac{7}{2}\ (2+8)\\ =35[/tex]

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