Question

Знайти різницю і сто п'ятдесят перший член арифметичної прогресії 1,8; 2,2; 2,6;...

Answer 1

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Answer 2

Arithmetic Progression Calculation

To find the difference and the 151st term of the arithmetic progression 1.8, 2.2, 2.6, ...

The common difference (d) of an arithmetic progression can be found using the formula: d = a(n) - a(n-1)

Where: - a(n) is the nth term of the arithmetic progression - a(n-1) is the (n-1)th term of the arithmetic progression

Let's calculate the common difference and the 151st term using the given arithmetic progression.

Common Difference Calculation

The common difference (d) can be calculated as follows: d = 2.2 - 1.8 d = 0.4

151st Term Calculation

The formula to find the nth term of an arithmetic progression is: a(n) = a(1) + (n-1)d

Where: - a(1) is the first term of the arithmetic progression - n is the term number - d is the common difference

Using the given values: a(1) = 1.8 d = 0.4 n = 151

Let's calculate the 151st term: a(151) = 1.8 + (151-1)0.4 a(151) = 1.8 + 150*0.4 a(151) = 1.8 + 60 a(151) = 2.2

Result

The common difference of the arithmetic progression is 0.4, and the 151st term is 2.2.