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You could do this the long way and solve for the common difference but, in this particular case, there is a short cut because 7 - 4 = 3 = 3 - 1

As a result,

U7 - U4 = U4 - U1

so that U1 = 2*U4 - U7 = 2*141 - 132 = 150.

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Q: Fourth term of arithmetic sequence is 141 seventh term is 132 what is the 1st term?
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