Question

In Pinagtongulan Integrated National High School, suspension of classes is announced through text brigade. One stormy day, the principal announces the suspension of classes to two teachers, each of whom sends this message to two other teachers, and so on. Suppose that text messages were sent in five rounds, counting the principal's text message as the first round, how many text messages were sent in all brainly​

Answer 1

Answer:

In Pinagtongulan Integrated National High School, suspension of classes is announced through text brigade. One stormy day, the principal announces the suspension of classes to two teachers, each of whom sends this message to two other teachers, and so on. Suppose that text messages were sent in five rounds, counting the principal's text message as the first round, how many text messages were sent in all brainly​

Step-by-step explanation:

Answer 2

The text messages will be sent 62 times.

Given:

The principal announces the suspension of classes to two teachers

Each of the two teachers sends this message to two other teachers, and so on.

The text messages were sent in 5 rounds.

To Find:

Number of text messages sent in all

Solution:

We can simply solve this problem by using the following mathematical process.

As per the given statements, the first two messages were sent by the principal and then every teacher who received a message sent it to 2 more.

Therefore, by geometric progression

The first term = a = 2

Common difference = r = 2

Number of rounds = n = 5

By using the formula for sum i.e. $S=a\frac{r^{n} -1}{r-1}$

We get,

$S=2(\frac{2^{5} -1}{2-1})$

$S=2(31)$

$S=62$

Hence, the text messages will be sent 62 times.

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