The first and second terms of an arithmetic sequences are 10 and 6 respectively. WHAT IS THE 11TH term of the sequence

Answer 1

The common difference in an arithmetic sequence is found by subtracting the second term from the first term:
10 - 6 = 4

To find the 11th term of the sequence, we can use the formula for the nth term of an arithmetic sequence:
A(n) = A(1) + (n-1)d

Where:
A(n) = nth term of the sequence
A(1) = first term of the sequence
d = common difference
n = term number

Plugging in the values we know:
A(1) = 10
d = 4
n = 11

A(11) = 10 + (11-1)*4
A(11) = 10 + 10*4
A(11) = 10 + 40
A(11) = 50

Therefore, the 11th term of the arithmetic sequence is 50.