If an=√7+√7+√7+.... has n radical signs, then by the method of mathematical induction, which is true?
an<7∀n≥1
an>7∀n≥1
an<4∀n≥1
an<3∀n≥1
a1=√7<7. Let a_m < 7. Then am+1=√7+am ⇒a2m+1=7+am<7+7<14⇒am+1<√14<7 So am<7∀n≥1