Question

20th term of -2.2,0,2.2,4.4 answer pls​

Answer 1

Answer:

262144 . 262144 is the 20th term

Answer 2

GIVEN :-

• AP = -2.2 , 0 , 2.2 , 4.4

• a ( first term ) = -2.2

• d ( common difference ) = 2.2

• n ( number of terms ) = 20

TO FIND :-

• an ( last term) or 20th term

SOLUTION :-

so for finding last term an we will use following formula :-

$\implies \boxed{ \rm{a _{n} = a + (n - 1)d}}$

$\implies \rm{a _{20} = ( - 2.2) + (20 - 1)(2.2)}$

$\implies \rm{a _{20} = ( - 2.2) + (19)(2.2)}$

$\implies \rm{a _{20} = ( - 2.2) + 41.8}$

$\implies \rm{a _{20} = 41.8 - 2.2}$

$\implies \boxed{ \boxed{ \rm{a _{20} = 39.6}}}$

OTHER INFORMATION :-

Sequences, Series and Progressions

• A sequence is a finite or infinite list of numbers following a certain pattern. For example: 1, 2, 3, 4, 5… is the sequence, which is infinite.sequence of natural numbers.

• A series is the sum of the elements in the corresponding sequence. For example: 1+2+3+4+5….is the series of natural numbers. Each number in a sequence or a series is called a term.

• A progression is a sequence in which the general term can be can be expressed using a mathematical formula.

Arithmetic Progression

• An arithmetic progression (A.P) is a progression in which the difference between two consecutive terms is constant.

• Example: 2, 5, 8, 11, 14…. is an arithmetic progression.

Common Difference

• The difference between two consecutive terms in an AP, (which is constant) is the “common difference“(d) of an A.P. In the progression: 2, 5, 8, 11, 14 …the common difference is 3.

• As it is the difference between any two consecutive terms, for any A.P, if the common difference is:

• positive, the AP is increasing.

• zero, the AP is constant.

• negative, the A.P is decreasing.

Finite and Infinite AP

• A finite AP is an A.P in which the number of terms is finite. For example: the A.P: 2, 5, 8……32, 35, 38

• An infinite A.P is an A.P in which the number of terms is infinite. For example: 2, 5, 8, 11…..

• A finite A.P will have the last term, whereas an infinite A.P won’t.