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2015-06-05T22:40:58+08:00

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a_n=a_1+(n-1)d

We perform this formula for n=4 and n=11:
a_4=a_1+3d=10 \\ a_{11}=a_1+10d=45

a_{11}-a_4 \\ a_1+10d-a_1-3d=45-10 \\ 7d=35 \\ d=5

Therefore the common difference is 5 
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2015-06-06T01:42:17+08:00

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Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
The formula for each of it is:
10=a_1+3d
45=a_1+10d
Use elimination, multiply the first equation by -1, then add:
35=7d
Divide both sides by 7
d=5

The common difference is 5. Hope this helps =)
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