The first three terms of an arithmetic sequence are U1 = 3k – 1, U2 = 4k + 1 and
U3 = 6k – 2. What is the value of k?
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as it is an arithmetic sequence so common difference are equal
U2-U1=U3-U2
=> (4k+1)-(3k-1)=(6k-2)-(4k+1)
=> 4k+1-3k+1=6k-2-4k-1
=> k+2=2k-3
=> k-2k= -3-2
=> -k= -5
=> k=5
value of k =5
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