Insert 3

Insert five arithmetic progression members between -7 and 3/2.

Correct result:

a2 =  -5.5833
a3 =  -4.1667
a4 =  -2.75
a5 =  -1.3333
a6 =  0.0833

Solution:

${a}_{3}={a}_{2}+d=\left(-5.5833\right)+1.4167=-\frac{25}{6}=-4.1667$
${a}_{4}={a}_{3}+d=\left(-4.1667\right)+1.4167=-\frac{11}{4}=-2.75$
${a}_{5}={a}_{4}+d=\left(-2.75\right)+1.4167=-\frac{4}{3}=-1.3333$
${a}_{6}={a}_{5}+d=\left(-1.3333\right)+1.4167=0.0833$

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