Question

Известно, что пара сизых голубей за один сезон приносит двух птенцов, пара больших синиц – 6. Условно считая, что все потомки и сами родители выживают и на следующий год образуют пары, а соотношение полов в потомстве всегда 1:1, рассчитайте рост численности птиц по поколениям. 16.1. Какова численность сизых голубей в пятом поколении.16.2. Какова численность больших синиц в пятом поколении.16.3. Во сколько раз увеличится численность голубей за первый сезон?16.4. Во сколько раз увеличится численность синиц за первый сезон?16.5. Во сколько раз численность синиц будет выше численности голубей через три года?

Answer 1

голубей  будет в пятом поколении  64..... т.к  на втрой год их будет  2 пары  у каждой по 2 птенца, на след их будет 4 пары и у каждых по 2 птенца, в следующий год уже 8 . и так далее  по прогрессии.

а синиц  на третий год их будет 128, на 4 -  448.  а на 5 -  1792.  ( считала  умножением )

численость голубей за первый сезон -  в три раза т.к. 8 больше 2 в 3 раза

а синиц -  было  2  а стало 1792 т. е. ( это на калькуляторе надо )( или у математиков спросить)

численость через  три года будет выше в три раза т.к.  128 больше 16 в три раза.  

Answer 2

Calculation of Bird Population Growth

To calculate the population growth of the birds over generations, we will assume that each pair of birds produces a certain number of offspring, and all the offspring and parents survive to form pairs in the next generation. Additionally, we will assume that the sex ratio in the offspring is always 1:1.

Given the information provided: - A pair of blue tits (sizyh golubei) produces 2 chicks per season. - A pair of great tits (bolshie sinitsy) produces 6 chicks per season.

Let's calculate the population growth for each species over five generations.

Calculation for Blue Tits (Sizyh Golubei)

In the first generation, we start with one pair of blue tits. They produce 2 chicks, so the total population becomes 1 (original pair) + 2 (chicks) = 3.

In the second generation, each of the original pair's offspring forms a pair and produces 2 chicks. So, the total population becomes 3 (original pair and their offspring) + 2 (chicks per offspring) * 2 (offspring) = 7.

In the third generation, each of the second-generation pairs produces 2 chicks. So, the total population becomes 7 (second generation) + 2 (chicks per pair) * 2 (pairs) * 2 (offspring per pair) = 23.

In the fourth generation, each of the third-generation pairs produces 2 chicks. So, the total population becomes 23 (third generation) + 2 (chicks per pair) * 2 (pairs) * 2 (offspring per pair) * 2 (offspring per pair) = 79.

In the fifth generation, each of the fourth-generation pairs produces 2 chicks. So, the total population becomes 79 (fourth generation) + 2 (chicks per pair) * 2 (pairs) * 2 (offspring per pair) * 2 (offspring per pair) * 2 (offspring per pair) = 271.

Therefore, the population of blue tits in the fifth generation is 271.

Calculation for Great Tits (Bolshie Sinitsy)

In the first generation, we start with one pair of great tits. They produce 6 chicks, so the total population becomes 1 (original pair) + 6 (chicks) = 7.

In the second generation, each of the original pair's offspring forms a pair and produces 6 chicks. So, the total population becomes 7 (original pair and their offspring) + 6 (chicks per offspring) * 2 (offspring) = 19.

In the third generation, each of the second-generation pairs produces 6 chicks. So, the total population becomes 19 (second generation) + 6 (chicks per pair) * 2 (pairs) * 6 (offspring per pair) = 67.

In the fourth generation, each of the third-generation pairs produces 6 chicks. So, the total population becomes 67 (third generation) + 6 (chicks per pair) * 2 (pairs) * 6 (offspring per pair) * 6 (offspring per pair) = 259.

In the fifth generation, each of the fourth-generation pairs produces 6 chicks. So, the total population becomes 259 (fourth generation) + 6 (chicks per pair) * 2 (pairs) * 6 (offspring per pair) * 6 (offspring per pair) * 6 (offspring per pair) = 1,019.

Therefore, the population of great tits in the fifth generation is 1,019.

Population Growth Comparison

To calculate the ratio of the great tit population to the blue tit population after three years, we need to compare the population sizes in the third generation.

The population of blue tits in the third generation is 23, and the population of great tits in the third generation is 67.

Therefore, the population of great tits is higher than the population of blue tits by a factor of 67/23 = 2.91.

Therefore, the population of great tits is approximately 2.91 times higher than the population of blue tits after three years.