in three termed arithmetic progresion, the middle term is 30. Then sum of end terms is
Answers
Answer:
60
Step-by-step explanation:
Let the required AP be a - d, a, a + d.
Given, middle term = 30 ⇒ a = 30
Hence,
sum of end terms:
⇒ (a - d) + (a + d)
⇒ a - d + a + d
⇒ 2a
⇒ 2(30)
⇒ 60
Hence, the sum of end terms is 60
Given :- in three termed arithmetic progression, the middle term is 30. Then sum of end terms is ?
Solution :-
Let the given three terms of AP are (a - d) , a and (a + d)
where (a - d) and (a + d) are end terms and a is middle term .
so,
→ Middle term = 30 (given)
→ a = 30 ---- Eqn.(1)
then,
→ sum of end terms = ?
→ (a - d) + (a + d)
→ a + a - d + d
→ 2a
putting value of Eqn.(1)
→ 2 * 30
→ 60 (Ans.)
Hence, sum of end terms is 60 .
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