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If the Seven times of seventh term of an arithmetic progression is Eleven times of its 11th term, then the 18th term of the arithmetic progression will be _____

A1

B0

C2

D-1

Answer:

B. 0

Read Explanation:

First term is a and common difference is d

n-th term = a + (n-1)d

Seventh term = a + 6d

Eleventh term = a + 10d

Seven times the seventh term is equal to eleven times the eleventh term

7(a + 6d) = 11(a + 10d)

7a + 42d = 11a + 110d

4a = -68d

a = -17d

18th term = a + 17d

= -17d + 17d

= 0


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ഒരു കടയിൽ സോപ്പുകൾ അടുക്കി വെച്ചിരിക്കുന്നത്, ഏറ്റവും താഴത്തെ വരിയിൽ 20, അതിനുമുകളിൽ 18, അതിനു മുകളിൽ 16 എന്ന ക്രമത്തിലാണ്. ഏറ്റവും മുകളിലത്തെ വരിയിൽ 2 സോപ്പുമാത്രമാണെങ്കിൽ ആകെ എത്ര വരിയുണ്ട് ?