1 − 2 + 4 − 8 + ⋯ a convergent geometric series whose sum is by the usual formula. The Borel sum of is also ; when Émile Borel introduced the limit formulation of Borel summation in 1896, this was one of his first examples after 1 − 1 + 1 − 1 + ⋯ 1 − 2 + 4 − 8 + ⋯ In mathematics, is the infinite series whose terms are the successive powers of two with alternating signs. As a geometric series, it is characterized by its first term, 1, and its common ratio, −2. As a series of real numbers it diverges, so in
Minim (religious order) received the Minim religious habit from a Friar Lionet on 11 June 1495, and established the Monastery of Jesus and Mary. This was first and remains the oldest monastery of the Minim nuns. Francisca was elected as the first Corrector (religious superior) of the community. She spent many years as the Corrector of the monastery, gaining a reputation for holiness, and is today honored as Blessed Francisca. Their proper Rule was approved by the Holy See in 1506, at the same time as that of the friars. The Federation of Minim Nuns of Saint Francis of Paola includes fourteen monasteries