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The next term of an AP √7,√28,√63,.......is |
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Answer» Answer: The NEXT TERM of the AP will be √112. Step-by-step explanation: Given: The Arithmetic PROGRESSION is: √7,√28,√63 The first term of the AP(a) = √7 The common difference of the AP(d) = a3 - a2 =>3√7-2√7 =√7 Therefore, the common difference of the given AP is √7 We are given three terms of the AP now we have to find the fourth term of the given Arithmetic Progression. We can find the fourth term of the AP by using the formula: an = a +(n-1)d an = a + (4-1)d an = a + 3d We know the value of a and d we can substitute these VALUES in the given equation we found out. By doing this we get: => √7 + 3√7 => 4√7 => √4 * 4 * 7 (As 4 is outside the bracket we have to multiply it twice.) => √16 * 7 => √112 Therefore, the next term of the AP will be √112.
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