Answer is 0
Given:- arithmetic sequence 20,18,16,14,....
To find:- 11th term of given arithmetic sequence
Arithmetic Progression (AP) is sequence of numbers in order, in which the difference between any two consecutive numbers is constant value. It is also known as Arithmetic Sequence.
The 11th term of the A.P. can be found by a formula, a(n)=a(1)+(n-1)d , where n is the number of terms, a(1) is teh first term of A.P and d is difference between any two continuously terms.
Number of terms to be found = 11
therefore, a(11) = a(1)+(n-1)d
d=a(2)-a(1)
d=18-20
d=-2
putting value of d in above equation,
a(11) = 20 + (11-1)(-2)
a(11) = 20 - 20
a(11) = 0
hence the 11th term of arithmetic sequence 20,18,16,14,.... is 0.