Question

In the series 7,10,13, ...20th term is

Answer 1

Answer:

64

Step-by-step explanation:

7,10,13,16,19,22,25,28,31,34,37,40,

43,46,49,52,55,58,61,64,67,70,73,76...

20th term = 64

or

3×20+7-3 = 60+4=64

Answer 2

Answer:

The 20th term is 64

step-by-step explanation:

The difference of the two subsequent integers in an arithmetic progression (AP) series of numbers is always the same amount. It also goes by the name Arithmetic Sequence.

It is referred to as the AP sequence in mathematics because the difference between any two consecutive terms is often a constant. A succession of numbers known as an algebraic expression is one in which, for each and every pair of terms in a row, the next number is derived by adding a predetermined number to the first one. A succession of terms with a following differences between them that has a constant value is known as an algebraic expression. It is employed to generalize a collection of trends that we notice in daily life.

$7, 10, 13$

In every step of given series there is difference $+3$

$7+3 = 10$

$10+3 = 13$

This is called arithematic progression

In the given series

$d = 3$

$a_{n} =a_{1} +(n-1)*d$

$a_{1} =7$

so,

$a_{20} =a_{1} +(n-1)*d$

$a_{20} =7 +(20-1)*3$

$a_{20}=7+19*3$

$a_{20}=64$

Therefore the $20^{th}$ term is $64$

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