7th term of the arithmetic sequence is17 and it's 17th term is 7
Answers
Solution :
• The 7th term of an arithmetic sequence is 17 and the 17th term of the sequence is 7.
Let us assume that the first term of the arithmetic sequence is a and the common difference is d.
7th term > a + 6d
17th term > a + 16d
a + 6d = 17
a + 16d = 7
Subtracting the second equation from the first
( a + 16d ) - ( a + 6d) = 7-17
> 10d = -10
> d = -1
Placing the value of d in any of the equations
> a - 6 = 17
> a = 23.
Answer : The required arithmetic sequence is 23, 22, 21, 20, .....
_______________________________________
Step-by-step explanation:
Solution :
• The 7th term of an arithmetic sequence is 17 and the 17th term of the sequence is 7.
Let us assume that the first term of the arithmetic sequence is a and the common difference is d.
7th term > a + 6d
17th term > a + 16d
a + 6d = 17
a + 16d = 7
Subtracting the second equation from the first
( a + 16d ) - ( a + 6d) = 7-17
> 10d = -10
> d = -1
Placing the value of d in any of the equations
> a - 6 = 17
> a = 23.
Answer : The required arithmetic sequence is 23, 22, 21, 20,
_______________________________________