A sequence contains the terms S_1
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17 May 2024, 16:12
If you knew the formula for finding the nth term in a sequence, you could solve this question in 45-60 seconds.
Given the recursive sequence Sn = Sn−1+4 starting from S2 = 2, we recognise that this is an arithmetic sequence with the first term S2 and common difference 4. Just to illustrate this...
S2 = S(2-1)+4
OR
S2 = S1 + 4
The formula for the nth term in a sequence is: Sn = S2+(n−2)(d)
Plug in the numbers and you can quickly solve for S18...
Here, the common difference, d, equals 4, and S2 = 2 and n equals 18 (the 18th term in the sequence)
S18 = 2 + (18-2)(4)
S18 = 2 + (16)(4)
S18 = 2 + 64 = 66
There is a great chapter on arithmetic and geometric sequences in the Ultimate GRE Cheat Sheet. You will see some AWESOME time saving techniques in there. Check it out at Ultimate Tuition!