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Question

If it is known that a1+a4+a7+a10+a13+a16=147

then a1+a6+a11+a16=

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Solution

a11+a4+a7+a10+a13+a16=1476a+45r=147a1+a6+a11+a16=4a+30r=23(6a+45r)23(147)=98

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