⇒ T₇ = 4.
⇒ d = - 4.
As we know that,
General term of an ap.
⇒ Tₙ = a + (n - 1)d.
Using this formula in the equation, we get.
⇒ T₇ = a + (7 - 1)d.
⇒ T₇ = a + 6d.
Put the values in the equation, we get.
⇒ a + 6d = 4.
⇒ a + 6(-4) = 4.
⇒ a - 24 = 4.
⇒ a = 4 + 24.
⇒ a = 28.
First term of an ap = 28.
Option [D] is correct answer.
Supposition of terms in an ap.
(1) Three terms as : a - d, a, a + d.
(2) Four terms as : a - 3d, a - d, a + d, a + 3d.
(3) Five terms as : a - 2d, a - d, a, a + d, a + 2d.
Answer:
As we know,
The general term of an ap.
First-term of an ap = 28.
Option [D] is the correct answer.
MORE INFORMATION.
The supposition of terms in an app.
(1) Three terms as a - d, a, a + d.
Step-by-step explanation:
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EXPLANATION.
⇒ T₇ = 4.
⇒ d = - 4.
As we know that,
General term of an ap.
⇒ Tₙ = a + (n - 1)d.
Using this formula in the equation, we get.
⇒ T₇ = a + (7 - 1)d.
⇒ T₇ = a + 6d.
Put the values in the equation, we get.
⇒ a + 6d = 4.
⇒ a + 6(-4) = 4.
⇒ a - 24 = 4.
⇒ a = 4 + 24.
⇒ a = 28.
First term of an ap = 28.
Option [D] is correct answer.
MORE INFORMATION.
Supposition of terms in an ap.
(1) Three terms as : a - d, a, a + d.
(2) Four terms as : a - 3d, a - d, a + d, a + 3d.
(3) Five terms as : a - 2d, a - d, a, a + d, a + 2d.
Answer:
⇒ T₇ = 4.
⇒ d = - 4.
As we know,
The general term of an ap.
⇒ Tₙ = a + (n - 1)d.
Using this formula in the equation, we get.
⇒ T₇ = a + (7 - 1)d.
⇒ T₇ = a + 6d.
Put the values in the equation, we get.
⇒ a + 6d = 4.
⇒ a + 6(-4) = 4.
⇒ a - 24 = 4.
⇒ a = 4 + 24.
⇒ a = 28.
First-term of an ap = 28.
Option [D] is the correct answer.
MORE INFORMATION.
The supposition of terms in an app.
(1) Three terms as a - d, a, a + d.
(2) Four terms as : a - 3d, a - d, a + d, a + 3d.
(3) Five terms as : a - 2d, a - d, a, a + d, a + 2d.
Step-by-step explanation: